Resources O Hint Ch While exercising in a fitness center, a man lies face down on a bench and lifts a weight with one lower leg by contracting the muscles in the back of the upper leg. The weight has mass 11.5 kg, and is a distance of 28.0 cm from the knee joint. The moment of inertia of the lower leg is 0.900 kg m², the muscle force is 1470 N, and its effective perpendicular lever arm is 3.45 cm. Find the magnitude of the angular acceleration a of the weight. rad/s? a = How much work W is done if the leg rotates through an angle of 10.0° with a constant force exerted by the muscle? J W = Question Credit: OpenStax College Physics

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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**Problem Statement:**

While exercising in a fitness center, a man lies face down on a bench and lifts a weight with one lower leg by contracting the muscles in the back of the upper leg. The weight has mass 11.5 kg, and is a distance of 28.0 cm from the knee joint. The moment of inertia of the lower leg is 0.900 kg·m², the muscle force is 1470 N, and its effective perpendicular lever arm is 3.45 cm. Find the magnitude of the angular acceleration α of the weight.

\[ \alpha = \_\_\_\_ \, \text{rad/s}^2 \]

**Question 1:**

How much work \( W \) is done if the leg rotates through an angle of \( 10.0^\circ \) with a constant force exerted by the muscle?

\[ W = \_\_\_\_ \, \text{J} \]

*Question Credit: OpenStax College Physics*
Transcribed Image Text:**Problem Statement:** While exercising in a fitness center, a man lies face down on a bench and lifts a weight with one lower leg by contracting the muscles in the back of the upper leg. The weight has mass 11.5 kg, and is a distance of 28.0 cm from the knee joint. The moment of inertia of the lower leg is 0.900 kg·m², the muscle force is 1470 N, and its effective perpendicular lever arm is 3.45 cm. Find the magnitude of the angular acceleration α of the weight. \[ \alpha = \_\_\_\_ \, \text{rad/s}^2 \] **Question 1:** How much work \( W \) is done if the leg rotates through an angle of \( 10.0^\circ \) with a constant force exerted by the muscle? \[ W = \_\_\_\_ \, \text{J} \] *Question Credit: OpenStax College Physics*
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