A student holds a bike wheel and starts it spinning with an initial angular speed of 9.0 rotations per second. The wheel is subject to some friction, so it gradually slows down. In the 10.0 s period following the inital spin, the bike wheel undergoes 65.0 complete rotations. Assuming the frictional torque remains constant, how much more time Ats will it take the bike wheel to come to a complete stop?
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- A student holds a bike wheel and starts it spinning with an initial angular speed of 9.0 rotations per second. The wheel is subject to some friction, so it gradually slows down. In the 10.0 s period following the inital spin, the bike wheel undergoes 77.5 complete rotations. Assuming the frictional torque remains constant, how much more time At, will it take the bike wheel to come to a complete stop? Ats = %3D SA small 700 g ball on the end of a thin, light rod is rotated in a horizontal circle of radius 2.5 m. Calculate the torque needed to keep the ball rotating at a constant angular speed if the air resistance experienced by the ball is 0.0200 N. Ignore the rods moment of inertia and air resistance. Hint: Treat the small ball as a particle.A yo‑yo with a mass of 0.0850 kg and a rolling radius of r=1.60 cm rolls down a string with a linear acceleration of 5.20 m/s2. Calculate the tension magnitude ? in the string and the angular acceleration magnitude ? of the yo‑yo.
- During the spin-dry cycle of a washing machine, the motor slows from 93.0rad/s to 31.0rad/s while spinning through an angle of 410. rad. What is the angular acceleration of the motor?A motorcycle, which has an initial linear speed of 6.6 m/s,decelerates to a speed of 2.1 m/s in 5.0 s. Each wheel has a radius of 0.65 mand is rotating in a counterclockwise (positive) direction. What are (a) theconstant angular acceleration (in rad/s2) and (b) the angular displacement (inrad) of each wheel?A student holds a bike wheel and starts it spinning with an initial angular speed of 9.09.0 rotations per second. The wheel is subject to some friction, so it gradually slows down. In the 10.0 s10.0 s period following the inital spin, the bike wheel undergoes 65.065.0 complete rotations. Assuming the frictional torque remains constant, how much more time Δ?sΔts will it take the bike wheel to come to a complete stop? Δ?s=Δts= ss The bike wheel has a mass of 0.725 kg0.725 kg and a radius of 0.385 m0.385 m. If all the mass of the wheel is assumed to be located on the rim, find the magnitude of the frictional torque ?fτf that was acting on the spinning wheel.
- An automobile engine can produce 253 Nm of torque. Calculate the angular acceleration (in rad/s2) produced if 80.2% of this torque is applied to the drive shaft, axle, and rear wheels of a car, given the following information. The car is suspended so that the wheels can turn freely. Each wheel acts like a 15.0 kg disk that has a 0.180 m radius. The walls of each tire act like a 2.00 kg annular ring that has inside radius of 0.180 m and outside radius of 0.320 m. The tread of each tire acts like a 10.0 kg hoop of radius 0.330 m. The 12.1 kg axle acts like a rod that has a 2.00 cm radius. The 29.7 kg drive shaft acts like a rod that has a 3.20 cm radius. rad/s² t Additional Materials ReadingA child is outside his home playing with a metal hoop and stick. He uses the stick to keep the hoop of radius 45.0 cm rotating along the road surface. At one point the hoop coasts downhill and picks up speed. (a) If the hoop starts from rest at the top of the hill and reaches a linear speed of 9.40 m/s in 14.5 s, what is the angular acceleration, in rad/s2, of the hoop? rad/s2 (b) If the radius of the hoop were larger, how would this affect the angular acceleration of the hoop? The angular acceleration would decrease. The angular acceleration would increase. There would be no change to the angular acceleration.A wheel is initially at rest then rotates with a constant acceleration of 2.0 rad/s2 . What is its angular speed after it has gone through a displacement of 5.0 rad?
- With the aid of string , a gyroscope is accelerated from rest ro 32 rad/s in 0.41 s. What is the angular acceleration in radians per square seconds? How many revolutions does it go through in the process?(a) Calculate the linear acceleration of a car, the 0.240-m radius tires of which have an angular acceleration of 15.0 rad/s?. Assume no slippage and give your answer in m/s2. m/s? (b) How many revolutions do the tires make in 2.50 s if they start from rest? rev (c) What is their final angular velocity in rad/s? rad/s (d) What is the final velocity of the car in m/s? m/s Additional Materials O Reading