Define watt, express kilowatt in terms …
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Define watt, express kilowatt in terms of joule per second. A150kg engine develops 500w for each kg. What force does it exert in moving the car at a special of 20ms-1?
Posted by Savitajain Jain 7 years, 3 months ago
- 2 answers
Shweta Gulati 7 years, 3 months ago
Watt is the SI unit of Power. 1 watt is the power of an appliance which does work at the rate of 1 Joule per second. The bigger unit of power is called as kilowatt(kW) which means 1kW=1000W
To express kilowatt in terms of Joules we will take the commercial unit of energy kilowatt-hour (kWh)
1 kilowatt hour=1 kilowatt for one hour
= 1000 watts per hour
But 1 watt= 1 joule/1 second
So, we can say
1 kilowatt-hour = 1000 joules/seconds for 1 hour
And 1 hour = 60*60 seconds
So, 1 kilowatt-hour = 1000 joules/seconds * 60*60 seconds
= 36,00,000 joules
Thus, 1kWh=3.6*106 J
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Shweta Gulati 7 years, 3 months ago
For the numerical part,
use the formula Power = Work done / Time taken
The mass of the engine is 150 kg and it develops a power of 500 W for each kg,
So total power developed in the engine is 150*500= 75000W = 75kW
Work done = Force* Displacement
When we put this in the formula of power, we can write Displacement/Time taken=Velocity
Then, the formula of power becomes Force*Velocity
We are given the velocity of car as 20 m/s
So, Power of engine / Velocity of car = Force exerted
75000/20 = 3750 N
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