The engine of a JF-Thunder fighter (made by Pakistan and China) develops a thrust of 3000 N. What horsepower does it have at a velocity of 600 m s⁻¹? (2413 hp)
Given:
Force of the thrust of JF-Thunder engine = F = 3000 N
Velocity of the engine = v = 600 m s⁻¹
To Find:
Power of JF-Thunder engine = P = ? (in horsepower)
Solution:
Power is defined as the rate with respect to the time at which work is done. The mathematical formula of power is given by:
P = `\ frac{W}{t}`
P = `\ frac{Fd}{t}` [W = Fd]
P = F `\ frac{d}{t}`
P = F v [`\ frac{d}{t}` = v]
by putting values
P = 3000 N x 600 m s⁻¹
P = 1,800,000 N m s⁻¹
P = 1,800,000 W
In Horse Power Unit:
We know that
1 horse power = 746 watts
or
1 W = `\ frac{1}{746}` hp
then
P = 1,800,000 W = `\ frac{1}{746}` x 1,800,000 hp
P = 2412.869 hp
P = 2413 hp ---------------Ans.
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