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What is the output force if the input force on the wheel is 100 N?
(Use Photo)
A) 5 B) 200 C) 500 D) 2000

What is the output force if the input force on the wheel is 100 N? (Use Photo) A) 5 B) 200 C) 500 D) 2000 class=

Verified Answer :

linchen12

the answer is B) and here's why:
since the radius of the wheel is 3 and the radius of the axle is 1 you multiply 3 by 1 which is 3. Then  you multiply it with 100 so 3 x 100 is 300. But there is no 300 the closest answer is B)200. so B should be the answer

Answer:

Output force, F' = 300 N

Explanation:

It is given that,

Input force acting on the wheel, F = 100 N

From the figure,

Radius of the wheel, r = 3 cm

Radius of the axle, r' = 1 cm

The mechanical advantage of the wheel and axle is given by :

\(MA=\dfrac{radius\ of\ wheel}{radius\ of\ axle}\)

\(MA=\dfrac{3\ cm}{1\ cm}\)

MA = 3

Another definition of mechanical advantage is given by :

MA = output force/ input force

\(F'=MA\times F\)

\(F'=3\times 100\)

F' = 300 N

So, the output force of the wheel and axle is 300 N. Hence, this is the required solution.

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