BEST PRACTICE Describing Rotational Motion

A wheel is rotated so that a point on the edge moves through 1.50 m. The radius of the wheel is 2.50 m, as shown in the figure. Through what angle (in radian) is the wheel rotated? Express the answer in 2 decimal places.

The outer edge of a truck tire that has a radius of 45 cm has a velocity of 23 m/s. What is the angular velocity of the tire in rad/s? Express the answer in 2 significant figures. No need to write the units.

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?

• 2816 cm

• 49 cm

• 98 cm

• 28

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

• 31.3 rad/s

• 17953 rad/s

• 197 rad/s

• 299 rad/s

A propeller spins at 1880 rev/min. What is the angular displacement of the propeller

in 2.50 s?

• 4700 rad

• 78.3 rad

• 29 531 rad

• 492 rad

A propeller slows from 475 rev/min to 187 rev/min in 4.00 s. What is the magnitude of its angular acceleration in rad/s²? Express the answer in 3 significant figures. No need to write the units.

Two of the tires on a farmer’s tractor have diameters of 1.5 m. If the farmer drives the tractor at a linear velocity of 3.0 m/s, what is the angular velocity of each tire?

• 2.0 rad/s

• 2.3 rad/s

• 4.0 rad/s

• 4.5 rad/s