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Question
A scooter develops a power of 1 HP while running at 36 km h−1. Calculate the force generated by its engine.
[Take 1 HP = 750 watts]
Numerical
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Solution
Given:
Power (P) = 1 HP = 750 W
Speed (v) = 36 km h−1
Converting speed into S.I. units (m s−1):
\[ v = 36 \times \frac{5}{18} \]
v = 10 m s−1
Formula: Power (P) = Force (F) × Speed (v)
\[ F = \frac{P}{v} \]
\[ F = \frac{750\ \mathrm{W}}{10\ \mathrm{m\,s^{-1}}} \]
F = 75 N
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