A horse exerts a force of 200N to pull a cart. If the horse cart system moves with velocity 36kmh^-1 on the level road. Then find the power of the horse in term of horsepower.
Answers
Answer:
F = 200N
v = 36 km/h
= 36×5/18 (to convert to m/s)
=10 m/s
P = F×v
=200×10
=2000 W
1 Horse Power = 746 W
thus,
2000 W = 2000/746
=2.68 HP
Here is your answer pal.
The power of the horse is approximately 2.682 hp
Given : A horse exerts a force of 200N to pull a cart. If the horse cart system moves with velocity 36kmh^-1 on the level road.
To find : The power of the horse in horsepower unit.
Solution :
We can simply solve this numerical problem by using the following process. (our goal is to calculate the power of the horse)
Now, We know that :
Power = Force × Velocity
Here,
- Power = 200 N
- Velocity = 36 km/h = 10 m/s
Velocity's unit conversion :
In 1 hour = 36 km
In 3600s = 36000 m
In 1s = 36000/3600 = 10 m/s
By, putting the available data, in the above mentioned mathematical formula, we get :
Power = 200 × 10 = 2000 N.ms⁻¹ = 2000 W
(As, 1 W = 1 N.ms⁻¹)
Now, converting the unit of power into horsepower unit :
1 hp = 745.7 W
or,
1 W = 1/745.7 hp
2000 W = 2000/745.7 = 2.682 hp (approx)
(This will be considered as the final result.)
Hence, the power of the horse is approximately 2.682 hp