A grinding wheel is in the form of a uniform solid disk of radius 6.98 cm and mass 2.09 kg. It starts from rest and accelerates uniformly under the action of the constant torque of 0.591 N-m that the motor exerts on the wheel. (a) How long does the wheel take to reach its final operating speed of 1 130 rev/min? S (b) Through how many revolutions does it turn while accelerating? rev Need Help? Read It Submit Answer

A shaft is turning at 65 rad/s at time t=0. Thereafter, its angular acceleration is given by α = -10 rad/s2 - 5t rad/s3 , where t is the elapsed time. (a) Find its angular speed at t=3 s. (b) How far does it turn in these 3s?

An automobile engine can produce 200 N · m of torque. Calculate the angular acceleration produced if 95.0% 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 14.0-kg axle acts like a rod that has a 2.00-cm radius. The 30.0-kg drive shaft acts like a rod that has a 3.20-cm radius.

Starting from rest, a disk rotates about its central axis with constant angular acceleration. In 1.00 s, it rotates 30.4 rad. During that time, what are the magnitudes of (a) the angular acceleration and (b) the average angular velocity? (c) What is the instantaneous angular velocity of the disk at the end of the 1.00 s? (d) With the angular acceleration unchanged, through what additional angle (rad) will the disk turn during the next 1.00 s? (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i Units >

An electric motor rotating a workshop grinding wheel at 1.08 x 10 rev/min is switched off. Assume the wheel has a constant negative angular acceleration of magnitude 2.06 rad/s? (a) How long does it take the grinding wheel to stop? Note that the time required for the wheel to stop is the same as the time for the wheel to start from rest and reach the given angular speed with the same magnitude angular acceleration, s (b) Through how many radians has the wheel turned during the time interval found in part (a)? It might be helpful to translate this problems into linear variables (a car traveling with an initial speed and then slowing down with a constant negative acceleration), rad Need Help? Road Master

A disk rotates about its central axis starting from rest and accelerates with constant angular acceleration. At one time it is rotating at 8.70 rev/s; 35.0 revolutions later, its angular speed is 20.0 rev/s. Calculate (a) the angular acceleration (rev/s2), (b) the time required to complete the 35.0 revolutions, (c) the time required to reach the 8.70 rev/s angular speed, and (d) the number of revolutions from rest until the time the disk reaches the 8.70 rev/s angular speed. Unit (a) Number (b) Number Unit (c) Number Unit (d) Number Unit

A disk rotates about its central axis starting from rest and accelerates with constant angular acceleration. At one time it is rotating at 10 rev/s; 60 revolutions later, its angular speed is 15 rev/s. Calculate (a) the angular acceleration, (b) the time required to complete the 60 revolutions, (c) the time required to reach the 10 rev/s angular speed, and (d) the number of revolutions from rest until the time the disk reaches the 10 rev/s angular speed.

pushes tangentially on a small hand driven merry-go- round. She is able to accelerate it from rest to 14 rpm in 10 s. Modeling the merry ga round as a uniform disk of radius 3.0 m and mass 780 kg, find the torque required to produce that acceleration. Neglect the frictional torque.