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A motor takes 38 amperes on a 220-volt circuit. Find the horsepower output (hp) of the motor shown with an efficiency of 90%. Express the answer to the nearest hundredth.

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hamzaahmeds

This question involves the concepts of power and current.

The power output of the motor is "10.08 hp".

Power Output

The power output of the motor can be found using the following formula:

P = ηVI

where,

  • P = Power = ?
  • η = efficiency = 90 % = 0.9
  • I = current = 38 A
  • V = potential difference = 220 V

Therefore,

P = (0.9)(38 A)(220 V)

P = 7524 watt

converting this to horsepower:

P = (7524 watt)([tex]\frac{1\ hp}{746\ watt}[/tex])

P = 10.08 hp

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