After all the excitement of rescuing the constitution, you decide to go for a relaxing bike ride to wind down. Your bike is an antique, left to you by your great, great, grandfather, pictured below. This bike has no gears, so the number of times you turn the petals in the number of times the weels rotate. Assume the front wheel has a radius of 0.5 m, and the back wheel has a radius of 0.2 m. You begin your bike ride with an angular acceleration of 5 rad/s^2 for the front (big) wheel. How long until the bike is traveling at 10 m/s (note: the speed of the bike relative to the road is the same as the speed of the outer edge of the wheel relative to the center)? You then ride at a constant speed for 10 minutes. How many rotations does the big wheel make? How about the little one? Draw a picture of set up with relevant values labeled with variable names. Draw velocities vs time graphs (this time, angular velocity).

Q: Baby Huey rolls a rubber ball (a hollow sphere) of mass M and radius R up a hillside, giving it an…

A:

Q: In the figure, two 6.10kg blocks are connected by a massless string over a pulley of radius 1.70 cm…

A:

Q: One way to store energy is in the rotational motion of a flywheel, and some have proposed using such…

A:

Q: A dentist causes the bit of a high-speed drill to accelerate from an angular speed of 1.30 x 104…

A:

Q: Question 4 A car is fitted with a flywheel connected to the drive shaft. The flywheel spins with the…

A: mgh(sin 5°)=12mv2+12Iw2   ....(1)moment of disc =12mr2angular velocity w=260…

Q: Jennifer decided to install a ceiling fan in the master bedroom. After a laborious installation, she…

A: initial angular speed (w) = 0 final angular speed = 120 rev/min  = 2 rev/sec  = 12.57 rad/s t = 20…

Q: Please help: When a pitcher throws a curve ball, the ball is given a fairly rapid spin.  A. If a…

A: Given data: m=0.15 kgv=42 m/sω=43 rad/sr=3.7 cm Need to determine the rotational and translational…

Q: n electric motor turns at 1200 RPM while delivering a torque of 20 in-lb. a. What is the angular…

A: Given: The speed of the motor is 1200 rpm. The torque of the motor is 20 in-lb.

Q: A motorcycle goes from rest to 60 mph in 3 s.  A motorcycle tire has a radius of 0.6 m.  How many…

A:

Q: A record turntable starts from rest and then spins up to 33.3 rpm’s. A beetle lands on the record…

A: The initial angular speed of the turntable is 0 rpm.The final angular speed is 33.3  rpm.

Q: In the figure, two 6.50 kg blocks are connected by a massless string over a pulley of radius 2.40 cm…

A:

Q: A disk of mass 3.3 kg and radius 0.25 m is initially spinning at 510 rpm. A brake is applied until…

A:

Q: How much torque would it take to make the wheel speed up from rest to 1.5 rev/sec in 10 sec? b. Now…

A: The moment of inertia of a rigid body is the sum of the products of the masses of all the particles…

Q: A figure skater begins to spin in an angular speed w about a vertical axis with her arms…

A: Given : Initial angular speed of the skater = ω Initial Moment of inertia of the skater = I Final…

Q: Question 3 A 1.8 kg solid cylinder (radius = 0.15 m , length = 0.70 m ) is released from rest at the…

A:

Q: A merry-go-round is spinning at a rate of 3.03.0 revolutions per minute. Cora is sitting 0.50.5 m…

A: Given that distance of Cora from the centre and distance of Cameron from the centre and also given…

Q: Name: Problem 1: A CD in a CD player starts from rest and is spun up to 500 rpm. The mass of the CD…

A:

Q: An ice skater starts a spin with her arms stretched out to the sides. She balances on the tip of one…

A: If no external torque acts on the system, then the total angular momentum of the system remains…

Q: A marble rolls down the track and around a loop-the-loop of radius 0.2 m. The marble has mass 59 g…

A: Given, mass of the marble, m=59 g radius of the marble, r=1.5 cm Radius of the loop, R=0.2 m

Q: I recently purchased an electric fan that rotates at 3600 rpm. Please determine its angular speed in…

A:

Q: Assume that you have a thin walled loop of radius 11.0 cm, which starts at rest and rolls down a…

A: Apply the energy conservation equation between the top and the bottom of the plane.…

Q: A lawn mower has a flat, rod-shaped steel blade that rotates about its center. The mass of the blade…

A: mass = 0.65 kg Length (L) = 0.55 m

Q: A father fashions a swing for his kids out of a long rope that he fastens to the limb of a tall…

A: We have  Radius r = 7.40 m  Tangential speed   v = 8.75 m/s  We have to find angular speed

Q: propeller is modeled as five identical uniform rods extending radially from its axis. The length and…

A: Length l = 0.705 m Mass m = 2.91 kg  Angular speed = 553 rpm                 = 553 × 2π /60…

Q: at is the wheel angular speed

A:

Q: A rod of length 1.21 m and mass 4.3 kg can freely rotate around uppermost point (see Fig). A bullet…

A: According to question--- Given data-- length of road L = 1.21 m. mass of road = 4.3 kg. mass of…

Q: Someone is sitting on a stool that rotates freely, They're holding a 4kg weight in one hand and a…

A: We need to calculate the angular speed of the system when the person pulls his arms close to his…

Q: A truck has tires with a radius of 40.0cm. If the vehicle is driven 80,000 km (80,000,000 m) before…

A: if a car travels certain distance after the wheel completes N number of revolutions then the number…

Q: A skater spins with an angular speed of 12.0rad/s with his arms outstretched. He lowers his arms,…

A: Given:- angular speed= 12.0 rad/s Initial Moment of inertia =41 Kgm2 Final Moment of inertia  = 36…

Q: Figure Q2 shows a spool with a mass of 20 kg and a radius of gyration ko = 0.16 m. The 15 kg block A…

A: Solution: a). Initially the spool is not rotating and the block is at touching the spool. As block A…

Q: a. If the ball is released from rest at a height of 0.61 m above the bottom of the track on the…

A:

Q: uniform ball of radius 0.1 m and mass 1 kg is released from rest on a no-slip surface, as shown in…

A:

Q: A propeller is modeled as five identical uniform rods extending radially from its axis. The length…

A: Moment of inertia of each rod = (1/3) M L2 Therefore, moment of inertia of 5 rods = (5) * (1/3) M L2…

Q: drum major twirls a 95-cm-long, 440 g baton about its center of mass at 140 rpm. What is the baton's…

A:

Q: The total kinetic energy of a baseball thrown with a spinning motion is a function of: Choose A. its…

A: Given: The baseball is thrown with a spinning motion.   Asked: Total kinetic is function of which…

Q: A concept car includes a solid disk-shaped flywheel which can be spun up to store rotational kinetic…

A: Given data : Mass of flywheel, m=380kg Radius of the flywheel, r=0.4m Angular speed of the flywheel,…

Q: ind the Angular speed (?) of a wind turbine turning at a rate of 85 revolutions per minute. Give…

A: According the question---- Given data--- Number of revolution per minute = 85 We have to find-…

Q: You and your friend ride a merry-go round. You sit further away from center (2r) but your friend…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: A hollow cylinder (hoop), a solid cylinder (disk), and a solid sphere, each of mass M and radius R,…

A:

Q: 8i. 8. SITUATIONAL QUESTION At t = 0, a grinding wheel has an angular velocity of 25 rad/s. It has a…

A:

Q: A turn table starts from 12 rad/s of angular velocity and slows down to a stop in 10.0 s. Find the…

A: Given data: Initial angular velocity (ω0) = 12 rad/s Time (t) = 10.0 s Final angular velocity (ω) =…

Q: A professor sits on a rotating stool that is spinning at 10.0 rpm while she holds a heavy weight in…

A: Write the given values to the suitable variables.Here,  is the initial angular speed,  is the…

Q: A propeller is modeled as five identical uniform rods extending radially from its axis. The length…

A: Mass of each rod = 2.71kg Length of rod = 0.829m Angular velocity ω =589×2π60 =61.65rad/s2 Inretia…

Q: Agyroscope starts from rest and reaches a top angular speed of 9.75 rad/s in 2.3 seconds. What is…

A:

Q: A circular object of radius R starts from rest and rolls down an incline of height H without…

A: (Note: As there are multiple sub-questions, according to the company policy, only the first three…

Q: A turn table starts from rest and reaches 11 rad/s of angular velocity in 9.0 s. Find the total…

A: