A motorcycle, initially at rest, starts to move on a circular track with a 400-m radius. The component of the motorcycle's acceleration tangent to the path is given as a function of time by a = 2 + 0.2t. What is the motorcycle's acceleration in terms of normal and tangential components at t = 10s?

A motorcycle, initially at rest, starts to move on a circular track with a 400-m radius. The component of the motorcycle's acceleration tangent to the path is given as a function of time by a = 2 + 0.2t. What is the motorcycle's acceleration in terms of normal and tangential components at t = 10s?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: An airplane is flying at 450 m/s along a straight line and make the turn along a circular path level…

A: Speed of airplane (v) = 450 m/s radius of the circular path followed by airplane (r) = 30 m

Q: What is the radius of the circular motion if an object travelling at 2.64 m/s experiences a…

Q: A particle moves along a circular path of radius 5 ft. If its position is 0 = (e0.5t) rad/s, where t…

A: Solution:-Given thatRadius of circular path (R)=5 ftθ=e0.5t rad where t is in secondswhen θ=90°

Q: A particle travels clockwise around a circular path as shown below. The speed of the particle is…

A: See below

Q: The radius of the Car tires is 30.3 cm. It is traveling at 78 km/h when the driver applies the…

A: Given, radius = 30.3 cm=30.3×10-2 mvelocity = 78 km/h= 21.66 m/sdeceleration =-27 m/s2

Q: A sample of Uranium is rotating in a large centrifuge undergoing centripetal-acceleration. It…

Q: A car with an increasing speed rate of 0.600 m/s2 is traveling along a circular road. The radiusof…

A: Given data *The car with an increasing speed rate is a = 0.600 m/s2 *The car speed is v = 4 m/s *The…

Q: When a large star becomes a supernova, its core may be compressed so tightly that it becomes a…

A: We are given the radius of neutron star. We are also given time period of rotation. We find the…

Q: (a) What is the magnitude of the centripetal acceleration of an object on Earth’s equator due to the…

A: Given information: Here, Re is the Earth’s equatorial radius (standard value).

Q: For an object undergoing a uniform circular motion with radius 7.066 m and period 2.342 sec, the…

A: Given that the value of radius and time period. Then We have to determine the value of centripetal…

Q: A ball is in uniform circular motion with a constant speed 5 m/s. Is the ball’s velocity constant?…

A: Uniform circular motion is an example of accelerated motion

Q: Passengers in a whirl go round are subjected to accelerations of 2gs at the end of a 3.5 m pole as…

A: a) The required speed is,

Q: A small object moves at constant speed in a horizontal circle of radius 0.425 m. If the object makes…

Q: For an object undergoing a uniform circular motion with radius 5.7 m and period 4.35 sec, the…

Q: A 24 kg spy drone is programmed to fly around at a constant height of 97 meters around a central…

Q: A boll rounds a 2 m radius curve at 4 m/s. The magnitude of it's acceleration in m/s².

A: Introduction : In this question we are provided it value of velocity and radius . With these data…

Q: A particle travels in a circular orbit of radius r = 127.9 meters. Where it's speed is changing at a…

A: The objective of the question is to find the total acceleration of a particle moving in a circular…

Q: Jinky Pacquiao's second hand on an LV watch has a length of 4.50 mm and makes one revolution in…

Q: A boll rounds a 29 m radius curve at 2 m/s. The magnitude of it's acceleration in m/s².

A: Introduction : In this question we are provided with value of radius and speed . with these data…

Q: 90 02 / A particle slides along a curve defined by the path equation,r = 4 + sin(50), wherer is in…

Q: When a large star becomes a supernova, its core may be compressed so tightly that it becomes a…

Q: A car initially traveling eastward turns north by traveling in a circular path at uniform speed as…

Q: A cat rides a merry-go-round turning with uniform circular motion. At time 1.4s, the cat: velocity…

A: A cat rides a merry-go-round turning with uniform circular motion. At time t1 = 1.4 s. the ca's…

Q: A 1.60 kg lead ball is tied to a rope and spun in a circular path of radius 1.20 m. The ball obtains…

Q: A runner taking part in the 200 m dash must run around the end of a track that has a circular arc…

A: Given data: Distance traveled (d) = 200 m Radius of circular path (r) = 35 m Time (t) = 24.2 s…

Q: The aorta is a major artery, rising upward from the left ventricle of the heart and curving down to…

A: To calculate the centripetal acceleration of blood. Given:The diameter of the curve: d=5.9…

Q: Problem 5. An object moves on a circular path such that its distance covered is given by the…

A: Solution:-Given thats=(0.5t2+2t) mMagnitude of accelerations at t1=2sMagnitude of accelerations at…

Q: The aorta is a major artery, rising upward from the left ventricle of the heart and curving down to…

A: Diameter is Speed of blood flowing through aortic is Note:Find:Magnitude of centripetal…

Q: A particle moves along a circular path having a radius of 3.13 m. At an instant when the speed of…

Q: merry-go-round turning uniform circular motion. At time 1.4s, the cat's velocity is (5m/s)i +…

A: Given Data: The initial time is, t = 1.4 s. The initial velocity is, u =5 m/si^+10 m/sj^. The final…

Q: The bola is a traditional weapon used for tripping up or grounding an animal Once it is set into…

A: The speed of the bola is given by, v=2πrt Here, r is the radius of the circular path and t is the…

Q: ace car goes around level, circular track with a diameter of 1.00 km at a constant speed of 99 km/h.…

Q: 35.0° C B А

Q: A car exits the highway at 26.0 m/s and enters a 230 m radius curve. After breaking uniformly for…

Q: In a laboratory test of tolerance for high acceleration, a pilot is swung in a circle 12.0 m in…

A: Given: The diameter of the circle is d=12.0, The number of revolutions per minute is N =30.6 rpm.…

Q: An Earth satellite moves in a circular orbit 555 km above Earth's surface with a period of 95.55…

A: Given that Height of the satellite above the earth' surface is h = 550 km Time period of the…

Q: A motorcycle, starting from rest, accelerates at 2.87 m/s2 on a circular track with a 205 m…

Q: A planet travels in a circular orbit around a star. The radius of the circular orbit is 3.33×1011 m…

A: According to the given data R=3.33x1011 T=1.37 years We need to find The magnitude of the…

Q: A car initially traveling eastward turns north by traveling in a circular path at uniform speed as…

Q: A runner taking part in the 200 m dash must run around the end of a track that has a circular arc…

A: The magnitude of the centripetal acceleration of the runner is given by ac=v2r=d/t2r=200 m/22.2 s240…

Concept explainers

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

Question

A motorcycle, initially at rest, starts to move on a circular track with a 400-m radius. The component of the
motorcycle's acceleration tangent to the path is given as a function of time by a= 2 + 0.2t. What is the
motorcycle's acceleration in terms of normal and tangential components at t = 10s?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1 given and formula used

Step 2 solution

Step 3

Step 4 final answer

Step by step

Solved in 4 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A particle is moving in a circle of radius R. At t = 0, it is located on the x-axis. The angle the particle makes with the positive x -axis is given by 0 = At² + Bt³ What is the magnitude of the tangential acceleration, atan of the particle at a time t > 0? Express your answer in terms of R, t, A, and B as needed. What is the magnitude of the radial acceleration, larad of the particle at a time t > 0? Express your answer in terms of R, t, A, and B as needed.
A runner taking part in the 200 m dash must run around the end of a track that has a circular arc with a radius of curvature of 50 m. The runner starts the race at a constant speed. If she completes the 200 m dash in 30.0 s and runs at constant speed throughout the race, what is the magnitude of her centripetal acceleration (in m/s²) as she runs the curved portion of the track? m/s² +
A planet travels in a circular orbit around a star. The radius of the circular orbit is 3.01×1011 m and the orbital period is 4.27 years. What is the magnitude of the centripetal acceleration of the planet, in m/s2?
We know that the moon Callisto revolves around Jupiter during a period of 17.0 days.17.0 days. The average distance from the center of Jupiter to the center of Callisto is 1.95×109 m.1.95×109 m. What is the acceleration ?a of Callisto due to its motion around Jupiter?
A Formula One race car is traveling at 80.2 m/s along a straight track enters a turn on the race track with radius of curvature of 223 m. 1.)What magnitude centripetal acceleration, in m/s2, must the car have to stay on the track?
A person drives a car around a circular, level cloverleaf with a radius of 85 m at a uniform speed of 10 m/sec. What is the acceleration of the car?
a = 15.0 m/s² 4. The Figure represents the total acceleration of a particle moving clockwise in a circle of radius 2.50 mat a certain instant of time. For that instant, find (a) the radial acceleration of the particle, (b) the speed of the particle, and (c) its tangential acceleration 2.50 m 30.0°
Figure shows the total acceleration and velocity of a particle moving clockwise in a circle of radius 2.5 m at a given instant of time. At this instant, find: (a) the radial acceleration, (b) the speed of the particle and (c) its tangential acceleration.
The amusement ride shown is initially travelling on a circular path in a horizontal plane about O with v = 5 ê ft/s and r = 30 ft. The length of the cable is then decreased by a constant rate of 2 ft/s. Determine the speed of the cart after 3 seconds.
A boll rounds a 32 m radius curve at 15 m/s. The magnitude of it's acceleration in m/s2 ?
A runner taking part in the 200 m dash must run around the end of a track that has a circular arc with a radius of curvature of 35 m. The runner starts the race at a constant speed. If she completes the 200 m dash in 22.6 s and runs at constant speed throughout the race, what is the magnitude of her centripetal acceleration (in m/s2) as she runs the curved portion of the track?
A Ferris wheel with a radius of 24.0 m is turning about a horizontal axis through its center as shown in the figure. The speed of a passenger on the rim is constant and equal to 6.00 m/. What is the magnitude and direction of the passenger's acceleration as she passes through the (a) lowest point in her circular motion and by the highest point in her circular motion? (c) How much time does it take the Ferris wheel to make one revolution? (d) Include a diagram of the passenger on the Ferris wheel at both locations and clearly indicate both the velocity and acceleration vectors of the passenger in the diagram