A person who weigh 500N climbs a flight of straight from the ground to the 4th floor of a building in 40sec. If the height of 4th is 10m find
A... power in watts
b.....power in Hp
Hints:
1 watt = 1 joule/s = 1 N-m/s = 1 kg-m²/s&su3;
h=10m
weight,w=500N (=mg)
t=40 sec.
power = Nm/s = wh/t watts
1 horsepower = 745.7 watts
To find the power in watts, we can use the formula:
Power = Work / Time
First, let's calculate the work done. The work done is equal to the force multiplied by the distance:
Work = Force * Distance
The force can be calculated using the weight formula:
Force = Mass * Acceleration due to gravity
Since weight is given as 500N, we can rewrite the formula as:
Force = Weight = 500N
Acceleration due to gravity (g) is approximately 9.8 m/s^2.
Now, we can find the work done:
Work = Force * Distance = 500N * 10m = 5000 Nm (Newton-meters) or Joules (J)
Next, we can calculate the power using the formula:
Power = Work / Time
We are given that the time taken is 40 seconds, so:
Power = 5000 J / 40 s = 125 W (watts)
Therefore, the power in watts is 125W.
To find the power in horsepower (Hp), we can use the conversion factor 1 horsepower (Hp) = 746 watts.
Power (in Hp) = Power (in watts) / 746
Power (in Hp) = 125 W / 746 = 0.167 Hp
Therefore, the power in Hp is approximately 0.167 Hp.