Introductory Tangential Velocity Problem - Mints on a Turntable

The video tutorial explains how to calculate the tangential velocities of mints on a spinning record player. It covers the conversion of angular velocity from revolutions per minute to radians per second and demonstrates the calculation of tangential velocity using the formula: tangential velocity equals radius times angular velocity. The tutorial also discusses the properties of tangential velocity, emphasizing its perpendicularity to the radius and its increase with larger radii. The lesson concludes with a summary of key points.

What is the angular velocity in radians per second if a record player spins at 45 revolutions per minute?

• 3π radians per second

• 0.5π radians per second

• 2π radians per second

• 1.5π radians per second

How do you calculate the tangential velocity of an object moving in a circle?

• Subtract the radius from the angular velocity

• Add the radius to the angular velocity

• Divide the radius by the angular velocity

• Multiply the radius by the angular velocity

What is the tangential velocity of a mint located 8.0 centimeters from the center of a record player spinning at 1.5π radians per second?

• 45 centimeters per second

• 61 centimeters per second

• 14 centimeters per second

• 38 centimeters per second

What happens to the tangential velocity as the radius of the path increases?

• It remains constant

• It becomes zero

• It decreases

• It increases

Why are radians used in the formula for tangential velocity?

• Because radians are easier to calculate

• Because radians are the only unit for angular velocity

• Because radians have no units and act as a placeholder

• Because radians are larger than degrees