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

Answer:

revolutions per minute for 16 inches is 946 / minute

revolutions per minute for 14 inches is 1081 / minute

Step-by-step 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