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Problem: (a) Assume the equation x = At3 + Bt describes the motion of a particular object with x having the dimension of length and t having the dimension of time. Determine the dimensions of the constants A and B. (b) Determine the dimensions of the derivative dx/dt = 3At2 + B

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FREE Expert Solution

(a)

From the principle of homogeneity, At3 can be dimensionally written as:

 At3 = x

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(a) Assume the equation x = At3 + Bt describes the motion of a particular object with x having the dimension of length and t having the dimension of time. Determine the dimensions of the constants A and B. (b) Determine the dimensions of the derivative dx/dt = 3At2 + B

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