We did this in automotive it's the diameter not circ because only one side of where ever touches the ground.

The perimeter of the wheel = (22/7) x 7 = 22 cms.

The wheel has travelled at an average speed of 2 miles per second for 20 seconds.

So the wheel has travelled 2 x 20 = 40 miles.

40 miles = 64.37376 Kms = 6437376 cms.

6437376/22 = 292608 revolutions the wheel has turned..........(Ans.)

2 miles/second for 20 seconds is 40 miles.

292,726.8 revolutions

Update:

2.2 miles/second for 20 seconds is 44 miles.

321,999.5 revolutions

As the wheel rotates one time, it moves a distance that is equal to the circumference of a circle.

d = π * 7

This is approximately 22 cm. To solve this problem, we need to convert the average speed from miles per second to cm/s.

v = 2.2 mi/s * 5280 ft/mi * 12 in/ft * 2.54 cm/in = 354,055.68 cm/s

The next step is use the following equation to determine the distance it moves in 20 seconds.

d = v * t = 354,055.68 * 20 = 7,081,113.6 cm

To determine the number of revolutions, divide the distance by the circumference of the wheel.

N = 7,081,113.6 ÷ π * 7

This is approximately 322,000 times. I hope this is helpful for you! Happy new year.

20 * 2.2 * 160934.4 / (7*pi) ≈ 321998.4

How?

in 20 seconds it travels 20 * 2.2 = 44 miles

44 miles = 44 * 1609.344 meters = 44 * 1609.344 * 100 cm = 7081113.6 cm

It travels 7081113.6 cm.

The circumference of circle is 7 * pi cm

7081113.6 / (7 * pi) ≈ 321,999 revolutions

A wheel with a diameter of 7 cm traveled for

20 seconds at an average speed of 2.2 miles per second.

how many revolutions would it turn?

use dimensional analysis (rates multiplied by each other to cancel out the unwanted units):

2.2 miles / second * 5280 feet / 1 mile * 12 inches / 1 feet * 2.54 rev / 7π * 1 hour / 60 minutes

= 25400 m rad/s (meter radians per second)

If you assume no slippage, then the wheel travels a distance equal to the perimeter each revolution of the wheel. The perimeter is equal to the product of pi and the diameter, 7π cm/rev.

20 seconds at a speed of 2 miles per second is a distance of 40 miles or

(40 miles)(5280 feet/mile)(12 inches/foot)(2.54 cm/inch) = 6437376 cm.

If the wheel travels 6437376 cm at 7π cm/revolution then the number of revolutions (assuming no slippage) would be

N = 6437376/(7π) ≈ 292726 revolutions (to the nearest whole revolution)

Ans: 292726 revolutions

Reply to Update:

I'm not going to recalculate the answer to correct your drunken error. When you sober up, you can update the answer using the method outlined above. I'll give you this hint. Since 2.2 is 10% greater than 2, the final answer is 10% greater than the one I gave you.

2 miles per second ???

Some speed !!!

1 revolution = 2pi r = 2pi (3.5) = 7pi

It traveled for 20 sec at a speed of 2 mps = 40 miles

40 miles = 6,437,360 cm

divide by 7pi

6437360 / (7pi) revolutions

292,725 revolutions

Distance travelled 20 x 2.2 = 44 miles

1 mile is 160934 cm

160934 x 44 = 7081096 cm travelled

7081096/( pi x7) = 322058 revolutions

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