Given the radius of a wheel is 12inches and the angular speed is measured to be 3pie/4 radiant per second, find the linear speed of the piece of gum stuck to the where. Give both an exact answer. And a decimal answer rounded to 4 decimal places.

Answer 1

One rotation covers 2π(12) or 24π inches
in one second the wheel will cover (3π/4)÷(2π) or 3/8 of that.
(3/8) of 24π inches = 9π inches

so the linear velocity is 9π inches/sec

Use your calculator to find the decimal representation of that

Answer 2

348593489.1 and a half
dur ta durrr.