Linear and Angular Velocity — Quiz Answers

A particle travels along a circular path that has a radius of 3 feet. The angular velocity of the particle is 18 radians per minute.

A particle travels along a circular path that has a radius of 3 feet. The angular velocity of the particle is 18 radians per minute.

The minute hand of a clock is 5 cm long. What is the linear velocity, in centimeters per minute, at the tip of the minute hand? Round your answer to the nearest hundredth.

An object travels along a circular path so that it completes one revolution in 8 seconds. If the linear velocity of the object is 90 pi inches per minute, what is the diameter, in inches, of the circular path?

A lawnmower blade has a diameter of 36 inches and spins at a rate of 60 revolutions per minute. What is the linear velocity, in inches per minute, at the end of the blade?

Marisol has a bicycle with wheels of 29 inches in diameter. Eliza has a bicycle with wheels of 26 inches in diameter. Both women pedal their bicycles so that the wheels turn at a constant rate of 150 revolutions per minute. Which statement compares the speeds of the two women? (Note: 1 mile is equal to 5 comma 280 feet)

A car is traveling at a speed of 50 miles per hour. Each wheel of the car makes 770 revolutions per minute. To the nearest tenth of an inch, what is the diameter of each car wheel? (Note: 1 mile is equal to 5 comma 280 feet)

An object travels in a circular path that has a diameter of 4 feet. The object makes 1 comma 320 revolutions per hour. What is the linear velocity, in miles per hour, of this object? (Note: 1 mile is equal to 5 comma 280 feet)

A convertible is traveling at 45 miles per hour, and its wheels have a diameter of 48 inches. How many complete revolutions do the wheels make in one minute?

A lawnmower blade has a diameter of 36 inches and spins at a rate of 60 revolutions per minute. What is the linear velocity, in inches per minute, at the end of the blade?