Math - Variation

under certain conditions, the thrust T of a propeller varies jointly as the fourth power of it's diameter, d, and the square of the number, n, of revolutions per second. What happens to the thrust if n is doubled and d is halved?

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  1. T = kd^4n^2

    if we replace n by 2n and d by d/2, we have

    T' = k(d/2)^4(2n)^2 = kd^4n^2/4 = T/4

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    posted by Steve

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