MATH SOLVE

2 months ago

Q:
# 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

Accepted Solution

A:

Answer:revolutions per minute for 16 inches is 946 / minuterevolutions per minute for 14 inches is 1081 / minuteStep-by-step explanation:Given data radius = 16 inchspeed = 90 mph = 90/60 = 1.5 miles/minute = 1.5 × 5280 feet /12 inches = 95040 inches /minuteradius 2 = 14 inches to find out revolutions per minutesolutionfirst we calculate the circumference of the wheel i.e. 2×[tex]\pi[/tex]×radius circumference = 2×[tex]\pi[/tex]×16circumference = 32[tex]\pi[/tex]we know that revolution is speed / circumference revolution = 95040/32[tex]\pi[/tex]revolution = 945.38 / minutewe have given radius 14 inches than revolution will be i.e.revolution = speed / circumference circumference = 2×[tex]\pi[/tex]×14circumference = 28[tex]\pi[/tex]revolution = 95040/ 28[tex]\pi[/tex]revolution = 1080.43 / minute