Gears and Rotating Motion

A gear turns 2 full rotations. How many degrees is this?

• 1080 degrees

• 540 degrees

• 720 degrees

• $4\pi$

A wheel turns 1 and a quarter turn. What is the change in angle in radians?

• $\frac{3\pi}{2}$

• $\frac{5\pi}{2}$

• $\frac{7\pi}{2}$

• $3\pi$

A bicycle has 60 teeth on the input gear (the one connected to the pedals) and 20 teeth on the output gear (the one connected to the rear wheel). How many revolutions will the rear wheel make for each revolution of the pedal?

• 3 revolutions

• 2 revolutions

• 4 revolutions

• 5 revolutions

An input gear with 50 teeth turns an output gear with 25 teeth. The input gear turns 720 degrees. How many degrees does the output gear turn?

• 18000 degrees

• 36,000 degrees

• 1440 degrees

• 360 degrees

The input gear turns  $2\pi$  radians as the output gear turns  $10\pi$  radians.  If the output gear has 10 teeth, how many teeth does the input gear have?  

• 60 teeth

• 20 teeth

• 5 teeth

• 50 teeth

The _________________ gear in a gear set will turn the fastest.

• smallest

• largest

A 46 tooth input gear rotates 180 degrees. Through what angle does the 36 tooth output gear rotate?

• 230 degrees

• 140 degrees

• 8280

• 6480

What is the highest gear ratio we can make with the gears in our class?

• 12:1

• 18:1

• 27:1

• 9:2

What is the gear ratio of the following gear set? Remember the effort is the input.

• $\frac{3}{1}$

• $\frac{1}{5}$

• $\frac{1}{3}$

• $\frac{5}{1}$

What is the gear ratio of the following set? Remember the input gear is the effort.

• 1:4

• 2:1

• 1:3

• 3:1