The horsepower (hp) that a shaft can safely transmit varies jointly with its speed, in revolutions per minute (rpm), and the cube of the diameter. If the shaft of a certain material 3 inches in diameter can transmit 46 hp at 100 rpm, what must the diameter be in order to transmit 74 hp at 175 rpm?

diameter ≅  3 inches

Explanation:

Use a constant factor, k

Let Hp = horsepower

Let s = speed in rpm

Let d = diameter in inches

to find constant k, using

Hp=46

S=100

d=3 in

To find diameter when;

Hp=74

S=175

k=0.017

d=d inches

 d≅ 3 inches

what was the acceleration of the 2 kg cart?

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what was the acceleration of the 4 kg cart?

⇒ 8.1 cm/s2

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⇒ 5.3 cm/s2