Find the appropriate unit for J (shaft’s polar moment of inertia).

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The angle of twist for a shaft subjected to twisting torque can be expressed by the equation:φ = (TL)/(JG)whereφ = the angle of twist in radiansT = applied torque (N ⋅m)L = length of the shaft in meter (m)J = shaft’s polar moment of inertia(measure of resistance to twisting)G = shear modulus of the material (N/m2) What is the appropriate unit for J if the preceding equation is to be homogeneous in units?

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Chapter 6, Problem 3P

To determine

Find the appropriate unit for J (shaft’s polar moment of inertia).

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The angle of twist for a shaft subjected to twisting torque can be expressed by the equation:φ = (TL)/(JG)whereφ = the angle of twist in radiansT = applied torque (N ⋅m)L = length of the shaft in meter (m)J = shaft’s polar moment of inertia(measure of resistance to twisting)G = shear modulus of the material (N/m2) What is the appropriate unit for J if the preceding equation is to be homogeneous in units?

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