A wheel rotates about a fixed axis with a constant angular acceleration of 4 rad/s2. The diameter of the wheel is 49 cm. What is the linear speed (in m/s) of a point on the rim of this wheel at an instant when that point has a total linear acceleration with a magnitude of 2.7 m/s2?

A fan blade is rotating with a constant angular acceleration of +12.9 rad/s2. At what point on the blade, as measured from the axis of rotation, does the magnitude of the tangential acceleration equal that of the acceleration due to gravity?

At time t=0, the angular velocity of a wheel is 4.55 rad/s. The wheel is accelerating with constant angular acceleration -7.42 rad/s2. After 0.386 s, find the magnitude of the linear acceleration (in m/s2) of a point on the wheel a distance 0.500 m from the axis of rotation.

A large disk with a 2.4 m radius rotates from rest with a constant angular acceleration of 0.30 rad/s2. What are the linear speed and the magnitude of the acceleration of a point on the rim 2.5 s after it started rotating?

A ceiling fan is rotating counterclockwise with a constant angular acceleration of 0.50? rad/s2 about a fixed axis perpendicular to its plane and through its center. Assume the fan starts from rest. (a) What is the angular velocity of the fan after 2.0 s? (Enter the magnitude.) rad/s (b) What is the angular displacement of the fan after 2.0 s? (Enter the magnitude.) rad (c) How many revolutions has the fan gone through in 2.0 s? rev

A disk drive with a radius of 0.065 m starts rotating from rest with a constant angular acceleration. It takes 2 minutes and 50 seconds to complete ten revolutions. What is the linear (transitional) displacement of the rim of the disk drive after ten revolutions?

The propeller of a World War II fighter plane is 2.50 m in diameter. (a) What is its angular velocity in radians per second if it spins at 1100 rev / min? Enter to 3 significant figures W (b) What is the linear speed of its tip at this angular velocity if the plane is stationary on the tarmac? Enter to 3 significant figures V= rad/s (c) What is the centripetal acceleration of the propeller tip under these conditions? Calculate it in meters per second squared Enter to 3 significant figures ac g m/s ac = ✔m/s² Compare the centripetal acceleration to the acceleration due to gravity g. Is the centripetal acceleration very large or very small compared to g? Enter to 3 significant figures = ✓ (d) State what force provided this centripetal acceleration.

A motorcycle accelerates uniformly from rest and reaches a linear speed of 22.4 m/s in a time of 9.06 s. The radius of each tire is 0.287 m. What is the magnitude of the angular acceleration of each tire?

A 42.0-cm diameter disk rotates with a constant angular acceleration of 3.00 rad/s2. It starts from rest at t = 0, and a line drawn from the center of the disk to a point P on the rim of the disk makes an angle of 57.3° with the positive x-axis at this time. (a) At t = 2.32 s, find the angular speed of the wheel. rad/s (b) At t = 2.32 s, find the magnitude of the linear velocity and tangential acceleration of P. linear velocity             m/s tangential acceleration             m/s2 (c) At t = 2.32 s, find the position of P (in degrees, with respect to the positive x-axis). _________° counterclockwise from the +x-axis

A bar on a hinge starts from rest and rotates with an angular acceleration a = 10 + 6t, where a is in rad/s2 and t is in seconds. Determine the angle in radians through which the bar turns in the first 4.00 s.