A walker's speed, v, is proportional to the ratio of his leg length, L, and the period of the repeating motion of his legs, T, that is, v ∝ L/T. If the period is measured to be proportional to Lp, where p = 3/5, what power of L must the speed be proportional to? Enter your answer as a fraction (in lowest terms), first the numerator, then the denominator.

I have no idea how to go about this

asked by Jen

9 years ago

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1 answer

It sounds like you mean

period ∝ L^(3/5)

v ∝ L/T = L/L^(3/5) = L^(2/5)

answered by Steve

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Question

A walker's speed, v, is proportional to the ratio of his leg length, L, and the period of the repeating motion of his legs, T, that is, v ∝ L/T. If the period is measured to be proportional to Lp, where p = 3/5, what power of L must the speed be proportional to? Enter your answer as a fraction (in lowest terms), first the numerator, then the denominator.

I have no idea how to go about this

1 answer

It sounds like you mean

period ∝ L^(3/5)

v ∝ L/T = L/L^(3/5) = L^(2/5)

I have no idea how to go about this

Steve · Accepted Answer

It sounds like you mean period ∝ L^(3/5) v ∝ L/T = L/L^(3/5) = L^(2/5)