No slip wheel, distance covered, find revolutions

In summary, the radius of each wheel on a bicycle is 0.400 m and the bicycle travels a distance of 3.0 km. Assuming no slipping, each wheel makes approximately 119.4 revolutions. The correct answer is 1.2 x 10^3 revolutions.
  • #1
jehan4141
91
0
The radius of each wheel on a bicycle is 0.400 m. The bicycle travels a distance of 3.0 km. Assuming that the wheels do not slip, how many revolutions does each wheel make?

This problem seems so simple but none of the possible answers available seems correct.

My work

r = 0.4 m
x = 3 km = 3000 m

# of revolutions = x / [(2)(Pi)(r)] = 3000 / (2 x 3.14 x 0.4) ~119.4 m?

-------------------------
Below are the answers to choose from

8.4 × 10-4 revolutions


1.2 × 103 revolutions


Since the time of travel is not given, there is not enough information for a solution.


6.0 × 103 revolutions


2.4 × 102 revolutions
 
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  • #2
I think you slipped a decimal place in your calculation. Also, revolutions are not measured in units of meters.
 
  • #3
that is the weirdest thing. i think i calculated that about 4 times before getting frustrated and posting here. thank you so much!
 

What is a no-slip wheel?

A no-slip wheel refers to a wheel that maintains constant contact with the surface it is rolling on, without slipping or sliding. It is commonly used in vehicles, such as cars and bicycles, to ensure efficient and safe movement.

How is the distance covered by a no-slip wheel calculated?

The distance covered by a no-slip wheel can be calculated using the formula: distance = circumference of the wheel x number of revolutions. This is based on the assumption that the wheel maintains constant contact with the surface and does not slip or slide.

What factors can affect the distance covered by a no-slip wheel?

The distance covered by a no-slip wheel can be affected by various factors such as the diameter of the wheel, the surface it is rolling on, and the force applied to the wheel. Friction, air resistance, and weight distribution can also impact the distance covered.

How can you find the number of revolutions of a no-slip wheel?

The number of revolutions of a no-slip wheel can be found by dividing the distance covered by the circumference of the wheel. This will give the number of full rotations the wheel has made. To find the total number of revolutions, any additional partial rotations can be added to the result.

What are the practical applications of understanding no-slip wheels and calculating distance covered?

Understanding no-slip wheels and how to calculate the distance covered is crucial in various fields such as vehicle engineering, sports, and robotics. It can also be used for predicting and optimizing the performance of machines and vehicles, as well as in designing and testing new products.

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