Question

A 350Hp engine applies 275 pounds of force in 4 minutes. Through what distance would it be applied? (Answer in feet)

Answer 1

168000 feet

Step-by-step explanation:

+ 1 horsepower (hp) is equal to 550 foot-pounds per second (ft-lb/s)

+ 1 minute is equal to 60 seconds (s)

- Using these conversions, we can calculate the work done by the engine as follows:

Work = Force x Distance

Force = Power x Time / Distance

Power = 350 hp x 550 ft-lb/s / hp = 192500 ft-lb/s

Time = 4 min x 60 s / min = 240 s

Distance = Power x Time / Force = 192500 ft-lb/s x 240 s / 275 lb = 168000 ft

Therefore, the distance through which the force is applied is 168000 feet.

Answer 2

168,000 feet

Step-by-step explanation:

To calculate the distance through which the force was applied, we can use the following formula:

`\boxed{\boxed{\sf work = force * distance }}`

where:

• work is in joules (J)
• force is in newtons (N)
• distance is in meters (m)

We need to convert the given values to the appropriate units before we can use the formula.

Converting horsepower to watts

1 horsepower is equal to 550 watts.

Therefore, a 350 horsepower engine is equivalent to a 350 × 550 = 192500 watt engine.

Pounds = 275 pounds

Converting minutes to seconds

1 minute is equal to 60 seconds.

Therefore, 4 minutes is equal to 4 × 60 = 240 seconds.

Now that we have all of the values in the appropriate units, we can use the formula to calculate the distance:

`\sf distance =( work )/(force)`

`\sf distance =( power * time )/(force)`

Substitute the known value:

`\sf distance =( 192500 watts * 240 seconds)/( 275 pounds )`

`\sf distance = 168,000 feet`

Therefore, the force was applied through a distance of 168,000 feet.