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The cheetah is one of the fastest accelerating animals, capable of going from rest to 28.1 m/s in 4.26 seconds. If its mass is 114 kg, determine the average power developed by the cheetah during the acceleration phase of its motion.

Express your answer in:
(a) watts
(b) horsepower

Answer :

a) The average power developed by the cheetah during the acceleration phase of its motion is 841.9 W.

b) The average power developed by the cheetah during the acceleration phase of its motion is 1.13 hp.

What is average power?

Average power is a measure of the average rate of energy transfer over a given period of time. It is the total energy delivered divided by the total time for which it was delivered. It is typically expressed in units of watts or joules per second. Average power is useful for determining the energy used or generated during a given period, such as a day, week, or month.

It can be used to compare the energy efficiency of different systems or devices, or to compare the energy usage of different households. Average power can also be used to estimate the cost of electricity used over a given period, or to plan for future energy needs.

a) The average power in watts is calculated by taking the force (mass times acceleration) and multiplying it by the velocity. P = Fv = (114 kg)(28.1 m/s)/4.26 s = 841.9 W.

b) The average power in horsepower is calculated by converting watts to horsepower.

P (hp) = (841.9 W)(1 hp/745.7 W) = 1.13 hp.

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