A wheel of radius 0.250 m, moving initially at 43.0 m/s, rolls to a stop in 225 m. Calculate the magnitudes of its (a) linear acceleration and (b) angular acceleration. (c) Its rotational inertia is 0.155 kg m2 about its central axis. Find the magnitude of the torque about the central axis due to friction on the wheel.

A rigid body with a cylindrical cross-section is released from the top of a 31° incline. It rolls 13.0 m to the bottom in 3.13 s. Find the moment of inertia of the body in terms of its mass m and radius r. (Assume I is in kg · m2, m is in kilograms, and r is in meters. Do not include units in your answer.)

An electric drill starts from rest and undergoes uniform angular acceleration for a period of 0.130 s until it turns at a rate of 2.35 x 10 rev/min. (a) What is the drill's angular acceleration (in rad/s)? (Enter the magnitude.) rad/s? (b) What is the angle (in radians) through which the drill rotates during this period? (Enter the magnitude.) rad

(a) What is the magnitude of the tangential acceleration of a bug on the rim of a 13.0-in.-diameter disk if the disk accelerates uniformly from rest to an angular speed of 75.0 rev/min in 4.50 s? 0.2881 m/s² (b) When the disk is at its final speed, what is the magnitude of the tangential velocity of the bug? 1.296 m/s (c) One second after the bug starts from rest, what is the magnitude of its tangential acceleration? 0.2881 ✓ m/s² (d) One second after the bug starts from rest, what is the magnitude of its centripetal acceleration? X Your response differs from the correct answer by more than 100%. m/s² (e) One second after the bug starts from rest, what is its total acceleration? (Take the positive direction to be in the direction of motion.) magnitude m/s² direction o from the radially inward direction

Masses m1= 8.0 kg and m2= 2.0 kg are attached at the ends of a massless rod 2.00 meters long, mounted to spin around a point 50.0 cm from one end. Calculate the rotational inertia around the mount point.

A tire is rotating at an angular velocity of 51.6 radians/s. The radius of the tire is 1.9 m. Find the linear speed/velocity of a point on the edge of the tire.

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

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 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.

In the figure, wheel A of radius -9.40 cm is coupled by belt B to wheel C of radius rc-26.1 cm. The angular speed of wheel A is increased from rest at a constant rate of 2.53 rad/s². Find the time needed for wheel C to reach an angular speed of 63.0 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 Ma Units B