Suppose that a bike is being peddled so that the front gear with radius r=3.0 inches, is turning at a rate of 60 rotations per minute. Suppose the back gear has a radius of 2.00 inches and the wheel is 13.5 inches. What is the speed of the bike in miles per hour? (round to the nearest integer. Recall: 1 miles = 5280 feet, 1 hour =60 minutes)

During a certain time interval, the angular position of a swinging door is described by = 5.00 + 10.0t + 2.00t2, where is in radians and t is in seconds. Determine the angular position, angular speed, and angular acceleration of the door (a) at t = 0 and (b) at t = 3.00 s.

The tub of a washer goes into its spin cycle, starting from rest and gaining angular speed steadily for 8.00 s, at which time it is turning at 5.00 rev/s. At this point, the person doing the laundry opens the lid, and a safety switch turns off the washer. The tub smoothly slows to rest in 12.0 s. Through how many revolutions does the tub turn while it is in motion?

The propeller of an aircraft accelerates from rest with an angular acceleration = 4t + 6, where is in rad/s2 and t isin seconds. What is the angle in radians through which thepropeller rotates from t = 1.00 s to t = 6.00 s?

What is the average speed in mi/h of a person at the equator as a result of the Earths rotation? (Take the radius of the Earth to be RE = 4000 mi.)

In circular motion, a tangential acceleration can change the magnitude of the velocity but not its direction. Explain your answer.

Two gears are connected by a chain. The larger gear has a linear velocity of 12π5 inches per second. The angular velocity of the smaller gear is 32π3 radians per minute. What is the radius of the smaller gear?

Suppose that a bike is being peddled so that the front gear with radius r=4.0 inches, is turning at a rate of 65 rotations per minute. Suppose the back gear has a radius of 1.50 inches and the wheel is 13.5 inches. What is the speed of the bike in miles per hour? (round to the nearest integer. Recall: 1 miles = 5280 feet, 1 hour =60 minutes) C

The crankshaft in a race car goes from rest to 3000 rpm in 2.0 seconds. How many revolutions does it make while reaching 3000 rpm?

An automobile with 0.290 m radius tires travels 90,000 km before wearing them out. How many revolutions do the tires make, neglecting any backing up and any change in radius due to wear?  revolutions