Question

the radious of each wheel of a car is 16 inches at how many revolutions per minute should a spin balancer be set to balance the tires at a speed of 90 miles per hour is the setting different for a wheel of radious 14 inches

Answer 1

revolutions per minute for 16 inches is 946 / minute

revolutions per minute for 14 inches is 1081 / minute

Explanation:

Given data

radius = 16 inch

speed = 90 mph = 90/60 = 1.5 miles/minute = 1.5 × 5280 feet /12 inches = 95040 inches /minute

radius 2 = 14 inches

to find out

revolutions per minute

solution

first we calculate the circumference of the wheel i.e. 2×
`\pi`×radius

circumference = 2×
`\pi`×16

circumference = 32
`\pi`

we know that revolution is speed / circumference

revolution = 95040/32
`\pi`

revolution = 945.38 / minute

we have given radius 14 inches than revolution will be i.e.

revolution = speed / circumference

circumference = 2×
`\pi`×14

circumference = 28
`\pi`

revolution = 95040/ 28
`\pi`

revolution = 1080.43 / minute