Question

A rider is riding a bicycle on a 6 foot wall at a rate of 1 foot per second.The wheels have a radius of 1 foot and a piece of gum becomes stuck to the rear wheel as shown what's the gum minimum height and maximum height

Answer 1

Gum’s Minimum height: 6ft

Gum’s Maximum height: 8ft

2nd part

How far does the gym travel in one revolution of the bicycle wheel?

2pi

Answer 2

Minimum height of gum = 6 foot.

Maximum height of gum = 8 foot.

Explanation:

A rider is riding a bicycle on a 6 foot wall, therefore the height of the lowest point of the rear wheel is 6 foot from the ground and highest point of the rear wheel is (6+2) foot = 8 foot ( because diameter of rear wheel =2 foot ).

If a piece of gum become stuck to the rear wheel, hence the minimum height of the gum is 6 foot from the ground and maximum height of the gum is 8 foot from the ground.