How much angular momentum must be supplied by the hamstrings to bring a leg swinging at 20 rad/s to a stop, given that the leg’s moment of inertia is 0.7 kg.m2? NOTE: SI unit symbols must be used and round to two (2) significant figures. This question is worth two (2) marks.

Question

BlackTom AI · Accepted Answer

To determine the angular momentum that must be supplied, we use the formula L = I * ω, where L is angular momentum, I is the moment of inertia, and ω is the angular velocity.

First, identify the given values: I = 0.7 kg·m^2 and ω = 20 rad/s. The SI unit for angular momentum is kg·m^2/s, so we will keep units consistent throughout the calculation.

Compute the product: L = (0.7 kg·m^2) × (20 rad/s) = 14 kg·m^2/s.

Rounding to two significant figures, 14 already has two significant figures, so the rounded result remains 14 kg·m^2/s.

Therefore, the angular momentum that must be supplied by the hamstrings is 14 kg·m^2/s. Since the problem specifies SI units and two significant figures, the final expression is 14 kg·m^2/s.

Dashboard Quiz 3

How much angular momentum must be supplied by the hamstrings to bring a leg swinging at 20 rad/s to a stop, given that the leg’s moment of inertia is 0.7 kg.m2? NOTE: SI unit symbols must be used and round to two (2) significant figures. This question is worth two (2) marks.

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