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DIMENSIONAL ANALYSIS PRACTICE a. Assume the equation x = At + 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. (Use the following as necessary: L and T, where L is the unit of length and Tis the unit of time.) [A] = [B] = b. Assume the equation v = Dcosat describes the speed of a particular object, with v having the dimension of speed andt having the dimension of time. Determine the dimensions of the constants D and w. (Use the following as necessary: L and T, where L is the unit of length and Tis the unit of time.) [D] = [w] = C. Assume the equation p = Cr describes the density of a particular object, with p having the dimension of mass/volume and r having the dimension of length. Determine the dimensions of the constant C. (Use the following as necessary: L and M, where L is the unit of length and M is the unit of mass.) [C] =

DIMENSIONAL ANALYSIS PRACTICE a. Assume the equation x = At + 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. (Use the following as necessary: L and T, where L is the unit of length and Tis the unit of time.) [A] = [B] = b. Assume the equation v = Dcosat describes the speed of a particular object, with v having the dimension of speed andt having the dimension of time. Determine the dimensions of the constants D and w. (Use the following as necessary: L and T, where L is the unit of length and Tis the unit of time.) [D] = [w] = C. Assume the equation p = Cr describes the density of a particular object, with p having the dimension of mass/volume and r having the dimension of length. Determine the dimensions of the constant C. (Use the following as necessary: L and M, where L is the unit of length and M is the unit of mass.) [C] =

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DIMENSIONAL ANALYSIS PRACTICE 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. (Use the following as necessary: L and T. where L is the unit of length and Tis the unit of time.). [A] = [B] = b. Assume the equation v = Dcoswt describes the speed of a particular object, with v having the dimension of speed andt having the dimension of time. Determine the dimensions of the constants D and w. (Use the following as necessary: L and T, where L is the unit of length and Tis the unit of time.) [D] = [@] = c. Assume the equation p = Cr describes the density of a particular object, with p having the dimension of mass/volume and r having the dimension of length. Determine the dimensions of the constant C. (Use the following as necessary: L and M, where L is the unit of length and M is the unit of mass.) [C] =
Transcribed Image Text:DIMENSIONAL ANALYSIS PRACTICE 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. (Use the following as necessary: L and T. where L is the unit of length and Tis the unit of time.). [A] = [B] = b. Assume the equation v = Dcoswt describes the speed of a particular object, with v having the dimension of speed andt having the dimension of time. Determine the dimensions of the constants D and w. (Use the following as necessary: L and T, where L is the unit of length and Tis the unit of time.) [D] = [@] = c. Assume the equation p = Cr describes the density of a particular object, with p having the dimension of mass/volume and r having the dimension of length. Determine the dimensions of the constant C. (Use the following as necessary: L and M, where L is the unit of length and M is the unit of mass.) [C] =
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