Angular and Linear Velocity

What is the formula to calculate angular velocity?

• Change in angle divided by change in time

• Change in acceleration divided by change in time

• Change in speed divided by change in time

• Change in distance divided by change in time

What is the SI unit of angular velocity?

• m/s

• kg/s

• cm/s

• rad/s

What is the formula to calculate linear velocity?

• v = d/t

• v = t/d

• v = d * t

• v = d + t

What is the SI unit of linear velocity?

• km/h

• cm/s

• ft/s

• m/s

What is the relationship between angular velocity and linear velocity?

• linear velocity = angular velocity * radius

• linear velocity = angular velocity - radius

• linear velocity = angular velocity + radius

• linear velocity = angular velocity / radius

A wheel is rotating at an angular velocity of 4 rad/s. If the radius of the wheel is 0.5 meters, what is the linear velocity of a point on the rim of the wheel?

• 2 m/s

• 16 m/s

• 8 m/s

• 0.5 m/s

A car is moving at a linear velocity of 20 m/s. If the radius of the car's wheels is 0.3 meters, what is the angular velocity of the wheels?

• 200 rad/s

• 6.67 rad/s

• 66.67 rad/s

• 0.00667 rad/s

A CD is spinning at an angular velocity of 10 rad/s. If a point on the edge of the CD has a linear velocity of 5 m/s, what is the radius of the CD?

• 2

• 10

• 1

• 0.5

A bicycle wheel has an angular velocity of 6 rad/s. If the radius of the wheel is 0.4 meters, what is the linear velocity of a point on the rim of the wheel?

• 0.24 m/s

• 2.4 m/s

• 4.8 m/s

• 12 m/s

A car is moving at a linear velocity of 30 m/s. If the radius of the car's wheels is 0.5 meters, what is the angular velocity of the wheels?

• 15 rad/s

• 45 rad/s

• 90 rad/s

• 60 rad/s