How to Work out the Horsepower to Accelerate a Car of Known Mass
What is the horsepower required to accelerate a 400 Ib car from rest to 60 mph in 10 seconds
(a) What is the kg equivalance of 4000 Ib?
(b) What is the m/s equivalance of 60 mph?
(c) What is the acceleration in m/s2?
(d) What is the final kinetic energy?
(e) What is the average power in Watts?
(f) What is the average power in HP?
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(a) As we convert 1 Ib to kg as 1 Ib = 0.4536 kg (2 dec pl)
4000 lb = 4000 x conversion factor (Ib - kg) = 4000 x 0.4536 kg
4000 Ib = 1814.4 kg
(b) 1 mph = 1.6093 km/h (4 dec pl) [1]
1 mph = 1.6093 x 1000 m/h = 1609.3 m/h
As one hour equals 3600 seconds we convert 1 mph to m/s equivalent
1 mph = 1609.3/3600 m/s
Thus
60 mph ...
Solution Summary
The solution explains how to determine the horsepower required to accelerate a 400 Ib car from rest to 60 mph in 10 seconds. Explicitly by answering the following
(a) What is the kg equivalance of 4000 Ib?
(b) What is the m/s equivalance of 60 mph?
(c) What is the acceleration in m/s2?
(d) What is the final kinetic energy?
(e) What is the average power in Watts?
(f) What is the average power in HP?
Calculate Thrusting Force of Car Driving Uphill
A car goes up some hill at an angle theta.
The FBD shows that in the y-direction: n = mg*cos(theta), where n is the normal force.
In the x-direction:
T - mg*cos(theta) - mu*(mg*sin(theta)) = m*a_x (where T is the thrusting force of the car).
Is it possible to figure out what the thrusting force will be before-hand, i.e. I want to know if there is some way of getting T, and then solving what a_x would be.
All I am given about the car is its horsepower at 115 hp, and the fact that according to the manufacturer, it can go from 0 - 100 km/h in 10.4 seconds.
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