Question

A space station shaped like a giant wheel has a radius of 100 m and a moment of inertia of $5.00 \times 10^{8} \mathrm{kg} \cdot \mathrm{m}^{2} .$ A crew of 150 lives on the rim, and the station is rotating so that the crew experiences an apparent acceleration of 1g (Fig. P8.72). When 100 people move to the center of the station for a union meeting, the angular speed changes. What apparent acceleration is experienced by the managers remaining at the rim? Assume the average mass of a crew member is 65.0 kg.

Name: A space station shaped like a giant wheel has a radius of 100 m and a moment of inertia of 5.00 × 10^8kg·m^2 . A crew of 150 lives on the rim, and the station is rotating so that the crew experiences an apparent acceleration of 1g (Fig. P8.72). When 100 people move to the center of the station for a union meeting, the angular speed changes. What apparent acceleration is experienced by the managers remaining at the rim? Assume the average mass of a crew member is 65.0 kg.
Uploaded: 2022-04-27T19:57:59-08:00
Duration: 2 min 30 s
Channel: Stephen Zaffke

          A space station shaped like a giant wheel has a radius of 100 m and a moment of inertia of $5.00 \times 10^{8} \mathrm{kg} \cdot \mathrm{m}^{2} .$ A crew of 150 lives on the rim, and the station is rotating so that the crew experiences an apparent acceleration of 1g (Fig. P8.72). When 100 people move to the center of the station for a union meeting, the angular speed changes. What apparent acceleration is experienced by the managers remaining at the rim? Assume the average mass of a crew member is 65.0 kg.

Added by Linda W.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Stephen Zaffke

04/27/2022

Step 1

Given: Radius, $r = 100 \, \text{m}$ Acceleration, $a = 1 \, \text{g} = 9.81 \, \text{m/s}^2$ Using the formula for acceleration in circular motion: $a = r \omega_1^2$ Solving for $\omega_1$: $\omega_1 = \sqrt{\frac{a}{r}} = \sqrt{\frac{9.81}{100}} = 0.313 \, Show more…

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A space station shaped like a giant wheel has a radius of 100 m and a moment of inertia of $5.00 \times 10^{8} \mathrm{kg} \cdot \mathrm{m}^{2} .$ A crew of 150 lives on the rim, and the station is rotating so that the crew experiences an apparent acceleration of 1g (Fig. P8.72). When 100 people move to the center of the station for a union meeting, the angular speed changes. What apparent acceleration is experienced by the managers remaining at the rim? Assume the average mass of a crew member is 65.0 kg.