Calculate the effort in newtons required to raise 1000 kg anchor on boat with a wheel and axle of radii 50 cm and 10 cm respectively.

1000

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1500

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2000

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3000

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Solution

The correct option is D 2000
The mechanical advantage of a wheel and axle $= \frac{R a d i u s o f w h e e l}{R a d i u s o f t h e a x l e}$ .......... (1)
But $M A = \frac{l o a d}{e f f o r t}$ ............. (2)
From (1) and (2)
$\frac{R a d i u s o f w h e e l}{R a d i u s o f t h e a x l e} = \frac{l o a d}{e f f o r t}$
$\frac{50 c m}{10 c m} = \frac{1000 \times 10 N}{e f f o r t}$
$E f f o r t = \frac{1000 \times 10 \times 10}{50}$
$E f f o r t = 2000 N$

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Calculate the effort in newtons required to raise 1000 kg anchor on boat with a wheel and axle of radii 50 cm and 10 cm respectively.

The correct option is D 2000The mechanical advantage of a wheel and axle =RadiusofwheelRadiusoftheaxle .......... (1)But MA=loadeffort ............. (2)From (1) and (2)RadiusofwheelRadiusoftheaxle=loadeffort50cm10cm=1000×10NeffortEffort=1000×10×1050Effort=2000N