Angular velocity and Angular acceleration

A car whose tires have a radius of 32 cm travels down the highway at 25 m/s. What is the angular speed of the tires?

• 0.013 rad/s

• 8.0 rad/s

• 12 rad/s

• 78 rad/s

As an object rotates, the change in the angle is called _______

• angular displacement

• angular velocity

• angular acceleration

• none of above

If the angular velocity of an object is negative, it is rotating ________________________.

• clockwise

• counter clockwise

A steering wheel is rotated through 128°, as shown in the figure. Its radius is 22 cm. How far would a point on the steering wheel’s edge move?

• 0.49m

• 0.65m

• 0.22m

• .55m

An automobile wheel with a 9.00 cm radius, as shown in the figure, rotates at 2.50 rad/s. How fast does a point 7.00 cm from the center travel?

• 0.175 𝑚/𝑠

• 0.75 𝑚/𝑠

• 1.75 𝑚/𝑠

• 17.5 𝑚/𝑠

A playground merry-go-round makes two complete rotations in 9.6 s. What is its average angular velocity?

• 1.3 𝑟𝑎𝑑/𝑠

• 7.2 𝑟𝑎𝑑/𝑠

• 7 𝑟𝑎𝑑/𝑠

• 3.1 𝑟𝑎𝑑/𝑠

A propeller spins at 1880 rev/min. What is its angular velocity in rad/s?

• 197 𝑟𝑎𝑑/𝑠

• 320𝑟𝑎𝑑/𝑠

• 500𝑟𝑎𝑑/𝑠

• 100𝑟𝑎𝑑/𝑠

An antique long playing record rotates clockwise at 15 rev/min. What is its angular speed in rad/s

• 1.57 rad/s

• 1.75 rad/s

• 3.49 rad/s

• 209 rad/s

A flywheel increases its angular speed from 5 𝑟𝑎𝑑/𝑠 to 15 𝑟𝑎𝑑/𝑠 in 5 𝑠. Its angular acceleration is:

• 2 𝑟𝑎𝑑/𝑠²

• 3 𝑟𝑎𝑑/𝑠²

• 4 𝑟𝑎𝑑/𝑠²

• 5 𝑟𝑎𝑑/𝑠²

When a fan is turned off, its angular speed decreases uniformly from 10.0 rad/s to 6.30 rad/s in 5.00 s. What is the magnitude of the angular acceleration of the fan?

• 0.360 rad/s²

• 0.740 rad/s²

• 0.921 rad/s²

• 1.35 rad/s²