# Physics

posted by Kevin Fung

The maximum torque output from the engine of a new experimental car of mass m is τ. The maximum rotational speed of the engine is ω. The engine is designed to provide a constant power output P. The engine is connected to the wheels via a perfect transmission that can smoothly trade torque for speed with no power loss. The wheels have a radius R, and the coefficient of static friction between the wheels and the road is µ.
What is the maximum sustained speed v the car can drive up a 30 degree incline? Assume no frictional losses and assume µ is large enough so that the tires do not slip.

1. Damon

Normal force = m g cos 30
max friction force = mu m g cos 30

power in = power out
P = (mu m g cos 30) v

2. NotDamon

It says that mu is large enough that the tires don't slip
the answer is v = 2P/mg
of why there is not root(3) in the denominator i am not sure but that is what the USAPho test solution says.

## Similar Questions

1. ### Physics

You design an engine that takes in 1.5 x 10^4 J of heat at 650 K in each cycle and rejects heat at a temperature of 350 K. The engine completes 240 cycles in 1 minute. What is the theoretical maximum power output of your engine?
2. ### physics

A 1.50 103-kg car starts from rest and accelerates uniformly to 18.5 m/s in 11.3 s. Assume that air resistance remains constant at 400 N during this time. (a) Find the average power developed by the engine. 1 W (b) Find the instantaneous …

A 2300. kg car starts from rest and accelerates uniformly to 24.0 m/s in 24.0 s. Assume that air resistance remains constant at 510 N during this time. Find (a) the net force on the car b) the average power developed by the engine?
4. ### Physics!!!

A 2300. kg car starts from rest and accelerates uniformly to 24.0 m/s in 24.0 s. Assume that air resistance remains constant at 510 N during this time. Find (a) the net force on the car b) the average power developed by the engine?

A 2300. kg car starts from rest and accelerates uniformly to 24.0 m/s in 24.0 s. Assume that air resistance remains constant at 510 N during this time. Find (a) the net force on the car b) the average power developed by the engine?
6. ### Physics

You are testing a new car in a wind-tunnel for road and wind resistance. At speed of 90.0 km/h you have found that 74.0 % of the total output power of an automobile engine is used in overcoming the resistance of the road and wind against …
7. ### physics

A 1.50 ✕ 103 kg car starts from rest and accelerates uniformly to 17.1 m/s in 12.7 s. Assume that air resistance remains constant at 400 N during this time. (a) Find the average power developed by the engine. W (b) Find the …
8. ### Physics

A sports car with a very powerful engine driving on a surface with a coefficient of static friction µs = 0.8 wants to accelerate from a stop to 100 km/hr. (You may neglect air resistance.) a) What is the fastest that the car can accomplish …
9. ### Physics

A sports car with a very powerful engine driving on a surface with a coefficient of static friction µs = 0.8 and a ten degree incline wants to accelerate from a stop to 100 km/hr. (You may neglect air resistance.) a) What is the fastest …
10. ### Physics

The mass of a spacecraft is about 480 kg. An engine designed to increase the speed of the spacecraft while in outer space provides 0.09 N thrust at maximum power. By how much does the engine cause the craft's speed to change in 1 week …

More Similar Questions