A solid cylinder rolls up an incline at an angle of 11°. If it starts at the bottom with a speed of 39 m/s, how far up the incline does it travel? (Give the distance in meters along the incline that the cylinder travels before stopping. Assume the cylinder rolls without slipping.)

You spin a disk, giving it an initial angular velocity of 2.50 rad/s clockwise. After you give it that initial spin, the disk has a constant angular acceleration of 0.400 rad/s? counterclockwise. (a) How much time passes before the disk reverses direction? (b) What is the disk's angular displacement, relative to its starting position, at the instant it comes instantaneously to rest? rad (c) At t = 12.0 s after you gave it its initial angular velocity, what is the disk's angular velocity? Use a positive sign for clockwise, and a negative sign for counterclockwise. rad/s

In the figure, wheel A of radiusrA = 13.9 cm is coupled by belt B to wheel C of radius rc = 24.4 cm. The angular speed of wheel A is increased from rest at a constant rate of 1.45 rad/s². Find the time needed for wheel C to reach an angular speed of 50.5 rev/min, assuming the belt does not slip. (Hint: If the belt does not slip, the linear speeds at the two rims must be equal.) Number i Units

A wheel has a constant angular acceleration of 1.4 rad/s2. During a certain 7.0 s interval, it turns through an angle of 76 rad. Assuming that the wheel started from rest, how long had it been in motion before the start of the 7.0 s interval?

A wheel has a constant angular acceleration of 2.7 rad/s2. During a certain 2.0 s interval, it turns through an angle of 21 rad. Assuming that the wheel started from rest, how long had it been in motion before the start of the 2.0 s interval?

In the figure, wheel A of radius ra = 13.3 cm is coupled by belt B to wheel Cof radius rc=20.4 cm. The angular speed of wheel A is increased from rest at a constant rate of 1.43 rad/s2. Find the time needed for wheel C to reach an angular speed of 58.1 rev/min, assuming the belt does not slip. (Hint: If the belt does not slip, the linear speeds at the two rims must be equal.) TA Number i Units

A wheel (of radius 0.5 meters) spins with an angular velocity of 2 radians per second (rad/s). If this wheel were rolling on the ground without sliding, how fast would the wheel be traveling? O 1 m/s O 0.5 m/s It's not this one. O 2 m/s

A dentist causes the bit of a high-speed drill to accelerate from an angular speed of 1.42 x 104 rad/s to an angular speed of 3.60 x 104 rad/s. In the process, the bit turns through 2.50 x 104 rad. Assuming a constant angular acceleration, how long would it take the bit to reach its maximum speed of 9.41 x 104 rad/s, starting from rest?

A wheel rotates about a fixed axis with an initial angular velocity of 20 rad/s. During a 5.0 second interval, the angular velocity decreases to 10 rad/s. Assume the angular acceleration is constant during the 5.0 second interval.  How many radians does the wheel turn through during the 5.0 s inteval?