Lynne jogs daily around a circular track of diameter 25m for a total distance of 942 m in 5.0 min (a) how many times did Lynne jog around the track? (b) what is Lynne's average angular speed in radians/s?

Q: Human centrifuges are used to train military pilots and astronauts in preparation for high-g…

A: a) Angular speed = (88.2/4.95 )1/2                                 = 4.22 rad/s

Q: A hamster running in a wheel of radius 15 cm spins the wheel at 16 revolutions per minute. Round…

A:

Q: A car initially traveling at 29.2 m/s undergoes a constant negative acceleration of magnitude 1.40…

A: Given Initial velocity of car = 9.2 m/s acceleration = a = - 1.40 m/s2    a) we have to calculate…

Q: A ballet dancer performs a triple pirouette (3 full rotations) in 2.75 seconds, what was his angular…

A: one rotation =3600 three rotations =3*3600                           =10800…

Q: A ball is attached to a string and rotates in a circle. If it takes 1.00 s to complete one…

A:

Q: Starting from rest, a wheel with a radius of 0.6 m begins to roll across the ground in a straight…

A: Radius of Wheel R = 0.6 m  Angular acceleration α = 4.49 rad/s2 Number of revolutions = 15  Initial…

Q: An object with a radius of 0.56 m is rolling across the level ground in a straight line with an…

A: Radius of object (r) = 0.56 mInitial speed (vi) = 20.5 m/s Initial angular speed (ωi) = vi/r=> ωi…

Q: A computer drive disk with a radius of 0.065 m is turned on starting from rest with a constant…

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Q: A high-speed drill rotating counterclockwise at 2000 rpm comes to a halt in 3.0 s. a) What is the…

A:

Q: When a fan is turned off, it's angular speed decreases from 168 rpm to 64.0 rpm in 6.08 s.  a) What…

A:

Q: A child sits on a merry‑go‑round that has a diameter of 4.00 m. The child uses her legs to push the…

A: Given: Diameter (d) = 4 m               Angular speed (wf) = 16 rpm                 time (t) = 42…

Q: An object is swung in a horizontal circle, starting at position zero (0 rad) and ends at 3.5 rad. If…

A:

Q: A child sits on a merry‑go‑round that has a diameter of 5.00 m. The child uses her legs to push the…

A: Initial angular speed (ω0)=0rad/sAngular speed after 45s(ω)=17rpm=17×2π60s=1.78rad/s∴ Average…

Q: Human centrifuges are used to train military pilots and astronauts in preparation for high-g…

A: (a) angular speed is, ac=rω2ω=acrω=88.2 m/s24.04 mω=4.67 rad/s

Q: Human centrifuges are used to train military pilots and astronauts in preparation for high-g…

A: In this case, the radius of a human centrifuge and a trained, fit person wearing a g-suit can…

Q: The propeller of an aircraft accelerates from rest with an angular acceleration ? = 2t + 8, where ?…

A: Given value--- angular acceleration = 2t + 8. We have to find--- What is the angle in radians…

Q: Human centrifuges are used to train military pilots and astronauts in preparation for high- g…

A:

Q: A person pushes a merry-go-round from rest to a final angular speed of 0.540 rev/s with constant…

A: According to the given data ωf=0.540rev/s θ=2rev ωi=0    {  Initially at at } We need to find…

Q: What is the magnitude of the angular acceleration of a car following a curve of radius 500 m at a…

A: SOlution: Given that car moving in the curve r =500 m v = 25 m/s

Q: Human centrifuges are used to train military pilots and astronauts in preparation for high-g…

A: R, radius = 4.80 m acceleration, ac= 9g = 88.2 m/s2

Q: A disk is initially spinning at 14 radians per second, and comes to a stop in 22 seconds under…

A:

Q: The differential gear of a car axle allows the wheel on the left side of a car to rotate at a…

A:

Q: A ceiling fan rotates at the rate of 30 degrees every .63 seconds. What is the angular speed of the…

A:

Q: An 8.0 m radius merry-go-round completes one revolution every 7.0 s. (a) What is the angular…

A: Given data:  Radius (r) = 8.0 m Time period (T) = 7.0 s Required: The angular velocity, linear…

Q: A bicycle travels 227 m along a circular track of radius 29 m. What is the angular displacement in…

A: The relation between the circular arc and the radius is   Arc Length=Radius×Angle

Q: A dentist causes the bit of a high-speed drill to accelerate from an angular speed of 1.05 × 10ʻ…

A: Given data Initial angular speed is: ωo = 0 rad/s Intermediate angular speed is: ω1 = 1.05 x 104…

Q: What is the angular acceleration when the angle is pi/4 radians?

A:

Q: Human centrifuges are used to train military pilots and astronauts in preparation for high-g…

A: Given data: Acceleration, a=88.2 m/s

Q: A CD originally spinning at 636.9 revolution per minute slows down uniformly until it comes to a…

A:

Q: Starting from rest, a wheel with a radius of 0.58 m begins to roll across the ground in a straight…

A: We shall use the rotational kinematic equation to solve this problem ωf2=ωi2+2αθwhereωf is the final…

Q: Starting from rest, a wheel with a radius of 0.52 m begins to roll across the ground in a straight…

A: radius (r) = 0.52 m angular acceleration (α) = 3.95 rads2number of revolutions = 15initial angular…

Q: A merry-go-round rotates from rest with an angular acceleration of 1.11 rad/s². How long does it…

A:

Q: An electric fan makes 300 revolutions per minute. If it comes to a stop after 12 secs, what is the…

A: Given: The initial angular speed is 0 rad/s. The final angular speed is 300 revs/s. The time…

Q: Human centrifuges are used to train military pilots and astronauts in preparation for high-g…

A: (a) The centripetal acceleration in terms of angular speed is given by, ac=rω2 Here, r is the radius…

Q: A car drives in a circle of radius 100 m with a constant angular velocity of 7πrads7πrads. The car…

A: The relation between the angular displacement and velocity is given by θ=ωt From the question we…

Q: A DVD is rotating counterclockwise at constant angular acceleration. If it comes to a stop after…

A:

Q: A bug on the rim of a 10-in.-diameter disk if the disk moves from rest to an angular speed of 78…

A: The bug is moving with the disk. Initially the bug is at rest. We are given the final angular…

Q: 4.0

A: The answer is 3 seconds.

Q: A cart on a circular track (radius 25 ft) begins at rest and accelerates with an acceleration of…

A: Given values: Radius, R=25 ftAcceleration,a=0.785 ft/s2Time,t=10 s

Q: A cooling fan, initially rotating at 850 rpm is turned off, and then turns through 1350 complete…

A: (a) Consider the angular kinematic equation, ωf2=ωi2-2αθ             (I)…

Q: A ceiling fan is rotating counterclockwise with a constant angular acceleration of 0.40? rad/s2…

A:

Q: A merry-go-round rotates from rest with an angular acceleration of 1.95 rad/s². How long does it…

A: See below

Q: In order to move the rectangular stones which built the pyramids the ancient Egyptians used a system…

A:

Q: The world's tallest Ferris wheel is the High Roller in Las Vegas, NV. It has a radius of about 79…

A: The given radius of the Ferris wheel is R = 79 m and the time of ride is given as t = 8 minute = 480…

Q: Human centrifuges are used to train military pilots and astronauts in preparation for high-g…

A: Human centrifuges are used to train military pilots and astronauts in preparation for high-g…

Q: The differential gear of a car axle allows the wheel on the left side of a car to rotate at a…

A:

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.