Using the speed given in Problem P3.10, calculate the power required to move the rider in Problem P3.30

Using the speed given in Problem P3.10, calculate the power required to move the rider in Problem P3.30 up the incline portion of the water slide, where power is the change in energy divided by the time required to traverse the uphill portion.

Problem P3.10

Uphill water slides are becoming more popular at large water parks. Uphill speeds of riders can reach 19 ft/s. Express this speed in mph.

Expert Solution

From Problem 3.10 the speed is 19 ft/s . Hence the time taken to traverse 15 ft can be calculated as given below

Time taken = Distance/speed

Hence substituting the value of distance and speed

Time taken = 15 ft/19 ft/s

Therefore

Time taken = 0.789 s

From Problem 3.30 we know that the energy is 2158.1 J

Therefore,

Power = Energy/time

Substitute Energy = 2158.1 J and Time = 0.789 s,

Power = 2158.1 J/0.789 s

= 2735.23

Hence the power required to move the rider is 2735.23 W.

Junaid answered 2 years ago

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