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Explain the folling data regarding artificial gravity. Just explain why these formulas were needed to ultimately find the artificial gravity(4.26 m/s^2)

Explain the folling data regarding artificial gravity. Just explain why these formulas were needed to ultimately find the artificial gravity(4.26 m/s^2)

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Explain the folling data regarding artificial gravity. Just explain why these formulas were needed to ultimately find the artificial gravity(4.26 m/s^2)

Linear Acceleration Step 1 a = ro Given a = (243 x 10-2 m)(4, 18 rad/s)? Angular velocityw = 40 rotations per 60 seconds a = 4. 26 m/s (4.659 kgix(10.1 m/s) F = 243 x10 m F = 198. 6 N radius r= 243 cm = 243 x 102 m Force of the wheel Mass m = 4.659 kg F = ma F = (4. 659 kg) (4. 26 m/s?) Step 4 Step 2 F = 198. 6 N Answer Force on the wheel v = 10.1 m/s Solution F = my F=ma = 198.6 N Angular velocity = 4.659 kg)x(10.1 m/s)? 243 x10" m F = 198. 6 N F= mv?/r=198.6 N 40 rotations 60 s 40 x2e radians 60 s 0 = 4. 18 rad/s Step 4 Linear velocity v = ro v = (243 x 10-2 m) (4. 18 rad/s) Answer v = 10. 1 m/s v = 10.1 m/s F=ma = 198.6 N F= mv?/r=198.6 N
Transcribed Image Text:Linear Acceleration Step 1 a = ro Given a = (243 x 10-2 m)(4, 18 rad/s)? Angular velocityw = 40 rotations per 60 seconds a = 4. 26 m/s (4.659 kgix(10.1 m/s) F = 243 x10 m F = 198. 6 N radius r= 243 cm = 243 x 102 m Force of the wheel Mass m = 4.659 kg F = ma F = (4. 659 kg) (4. 26 m/s?) Step 4 Step 2 F = 198. 6 N Answer Force on the wheel v = 10.1 m/s Solution F = my F=ma = 198.6 N Angular velocity = 4.659 kg)x(10.1 m/s)? 243 x10" m F = 198. 6 N F= mv?/r=198.6 N 40 rotations 60 s 40 x2e radians 60 s 0 = 4. 18 rad/s Step 4 Linear velocity v = ro v = (243 x 10-2 m) (4. 18 rad/s) Answer v = 10. 1 m/s v = 10.1 m/s F=ma = 198.6 N F= mv?/r=198.6 N
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