Precalculus - Chapter 5.6 PP Angular Speed and Linear Velocity

A windmill blade rotates through 450 radians in 9 seconds. What is its angular speed?

• 60 rad/sec

• 50 rad/sec

• 30 rad/sec

• 40 rad/sec

Answer explanation

A bicycle wheel has a radius of 0.6 m and rotates at an angular speed of 12 rad/s. Find the linear speed at the edge of the wheel.

• 6.8 m/s

• 7.2 m/s

• 7.8 m/s

• 8.4 m/s

Answer explanation

A Ferris wheel rotates at 15 revolutions per minute (RPM). Convert this to angular speed in radians per second (rad/s).

• 0.98 rad/sec

• 0.84 rad/sec

• 1.57 rad/sec

• 1.78 rad/sec

Answer explanation

A rotating disk completes 300 radians in 10 seconds. What is its angular speed?

• 10 rad/sec

• 20 rad/sec

• 30 rad/sec

• 40 rad/sec

Answer explanation

A bicycle wheel has a radius of 0.5 m and an angular speed of 15 rad/s. Find its linear speed at the edge of the wheel.

• 8.5 m/s

• 8.0 m/s

• 7.0 m/s

• 7.5 m/s

Answer explanation

A car tire rotates at 20 revolutions per minute (RPM). Convert this to angular speed in radians per second (rad/s).

• 2.09 rad/sec

• 3.04 rad/sec

• 2.58 rad/sec

• 2.98 rad/sec

Answer explanation

A wheel spins at 25 rad/s and completes 500 radians. How much time does it take?

• 10 seconds

• 20 seconds

• 25 seconds

• 15 seconds

Answer explanation

A fan blade rotates at 45 rad/s, and another fan rotates at 360 RPM. Which one has a higher angular speed?

• Fan Blade 1 = 45 rad/sec

  Fan Blade 2 = 34.4 rad/sec

  Thus, fan blade 1 is faster.

• Fan Blade 1 = 45 rad/sec

  Fan Blade 2 = 48.8 rad/sec

  Thus, fan blade 2 is faster.

• Fan Blade 1 = 45 rad/sec

  Fan Blade 2 = 37.7 rad/sec

  Thus, fan blade 1 is faster.

Answer explanation

Use the image to answer the question

• A

• B

• C

• D

Answer explanation

Use the image to answer the question

• A

• B

• C

• D

Answer explanation