angular velocity

Calculate the length of an arc with radius 15 cm and central angle of 30°.

• 450 cm
• 5π/2 cm or ≈ 7.9 cm
• 225 cm
• 5π/4 cm or ≈ 3.9 cm

Determine the central angle if the arc length is 10 cm and the radius is 5 cm.

• 2°
• not possible ... "s" is too small
• ≈ 114.6°
• 360°

A ceiling fan with 16 inch blades rotates at 45 rpm.  Find the angular velocity of the fan in rad/min.  Round to the nearest tenth.

• 90 rad/min
• 282.7 rad/min
• 45 rad/min
• 141.4

When an object spins it is said to undergo ______________. 

• rotational motion
• angular momentum
• axis differentiation
• rotational axis

Two children, Jack and Jill, ride on a merry-go-round. Jack is at a greater distance from the axis of rotation than Jill. Which of the following are true statements?

• Jill and Jack have the same tangential speed.

• Jack has a greater tangential speed than Jill.

• Jill has a greater angular speed than Jack.

• Jill has a smaller angular speed than Jack.

Which of the following is NOT a unit of rotational speed?

• Meters per second

• Revolutions per minute

• Revolutions per second

• Rotations per second

What does ROTATION mean?

• To SPIN
• To ORBIT or GO AROUND

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

An object completes 1.5 circular orbits in half a minute. What is its approximate angular velocity?

• 0.05 rad/s
• 0.30 rad/s
• 0.5 rad/s
• 3 rad/s

Tags

NGSS.HS-ESS1-4

The velocity is always _____ to the line of a circle. 

• outwards
• towards the center
• tangent
• faster