An object is attached to a 1meter string and completes 5 rotations in 1 second. Find the (a) tangential velocity, (b)angular velocity of the object and (c) angular acceleration.

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.

The angular position of a point on a rotating wheel is given by θ = 1 + 8t^2 +5t^3, where θ is in radians and t is in seconds. (a) What is its angular velocity at t = 3 s? (b) Calculate its angular acceleration at t = 6 s.

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.

Starting from rest, a disk rotates about its central axis with constant angular acceleration. In 5.0s, it rotates 25 rad. During that time, what are the magnitudes of (a) the angular acceleration (b) the average angular velocity? (c) What is the instantaneous angular velocity of the disk at the end of the 5.0 s? (d) With the angular acceleration unchanged, through what additional angle will the disk turn during the next 5.0 s?

Some bacteria are propelled by motors that spin hair-like flagella. A typical bacterial motor turning at a constant angular velocity has a radius of 1.2 x10-8m, and a tangential speed at the rim of 1.6 x10-5 m/s. (a) What is the angular speed (the magnitude of the angular velocity) of this bacterial motor? (b) How long does it take the motor to make one revolution? (a) Number i (b) Number Units Units

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?