Question

hello I was trying to answer this question for some time but haven't gotten what answer and this is for plane trigonometry hopefully you can help me and thank you for your time

Answer 1

The diameter of the truck = 24 in

And the wheels are turning at 455 rpm

The linear speed = v = ω * r

Where ω is the angular speed

ω = (2 π n)/60

n = 455 rpm

ω = (2 π n)/60 = ( 2 π * 455 )/60 = (91/6) π

r = 0.5 * diameter = 0.5 * 24 in = 12 in

so, the speed = (91/6) π * 12 in = 182 π in/sec

Now convert in/sec to miles/hour

1 miles = 63,360 inches

1 hour = 60 minutes = 60*60 seconds = 3600 seconds

so,

1 mile/hour =63,360/3600 = 17.6 in/sec

So, 182 π in/sec =

`(182\pi)/(17.6)=10.34\pi\text{ miles/hour = 10.34}\cdot3.14\text{ =32.47 miles/hours}`

With out simplifications:

The answer is 10.34 pi