A kg car starting from rest, accelerates for
s .
The magnitude of the acceleration is
m/s2 or
ft/s2.
Determine the average power generated by the net force that accelerates the car in horsepower, HP?
HP, ANSWER
SOLUTION:
Memory recall, Newton's 2nd law of motion. Force, F = mass X acceleration
F = m * a
|
N =
|
Kg X
m / s2
|
Memory recall Kg * m / s2 is equal to Newton, N
Memory recall , Velocity Final, Vf = Velocity initial + acceleration X time
Vf = Vi + a t ; Vi = 0 , when starting from rest.
|
Vf m / s =
|
m / s2 X
s
|
Memory recall , Velocity average, Vave = (Velocity initial + Velocity final ) / 2
Vave = (Vi + Vf)/2 ; Vi = 0 , when starting from rest.
Vave = Vf / 2
|
Vave m / s =
|
m / s / 2
|
Memory recall: Average Power,
Pave = Force * Velocity average
Pave = F * Vave
Memory recall, N * m = Joule
Memory recall, N * m / s (velocity) =
Joule / s = watts
Memory recall, 746 watts = 1 HP
Pave = F Vave
|
W =
|
N *
m / s
|
|
Pave watts =
|
HP
|
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