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ooking at the following images find the artificial gravity with the give data:  radius of the spinning wheel: 24,3 cm mass of entire wheel aparatus: 4.659 kg  Rotations per minute: 40 rotations in 60 seconds

ooking at the following images find the artificial gravity with the give data:  radius of the spinning wheel: 24,3 cm mass of entire wheel aparatus: 4.659 kg  Rotations per minute: 40 rotations in 60 seconds

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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Looking at the following images find the artificial gravity with the give data: 

  • radius of the spinning wheel: 24,3 cm
  • mass of entire wheel aparatus: 4.659 kg 
  • Rotations per minute: 40 rotations in 60 seconds
  • 10 Revolutions: 8.25 seconds 

Looking at this information find the artificial grvaity using only the formulas given in the images

According to the Newton's third law, There is a force acting radially inward of the spinning wheel and the magnitude of this force is, m? F'= This force is known as the centripetal force. Under this force, the tiny balls inside the spinning wheel move towards the center of the wheel. This shows the effect of gravitation force on the tiny balls towards the center of the spinning wheel similar to the gravitation force experienced by the bodies on the earth towards its center. Thus, the artificial gravity inside the spinning wheel is centripetal acceleration. Thus, the value of the artificial gravity is a=r@
Transcribed Image Text:According to the Newton's third law, There is a force acting radially inward of the spinning wheel and the magnitude of this force is, m? F'= This force is known as the centripetal force. Under this force, the tiny balls inside the spinning wheel move towards the center of the wheel. This shows the effect of gravitation force on the tiny balls towards the center of the spinning wheel similar to the gravitation force experienced by the bodies on the earth towards its center. Thus, the artificial gravity inside the spinning wheel is centripetal acceleration. Thus, the value of the artificial gravity is a=r@
The acceleration of the spinning wheel is, a = ro Where r is the radius of the wheel and @ is the angular velocity of the wheel. In the terms of linear velocity of the wheel, the artificial gravity is, Where v is the linear velocity of the wheel. Thus, under this acceleration the force on the spinning wheel is, F = ma Where m is the mass of the wheel. Substituting the value of acceleration, The force acting on the spinning wheel is, This force is known as the centrifugal force. This force is radially outward from the centre of the spinning wheel.
Transcribed Image Text:The acceleration of the spinning wheel is, a = ro Where r is the radius of the wheel and @ is the angular velocity of the wheel. In the terms of linear velocity of the wheel, the artificial gravity is, Where v is the linear velocity of the wheel. Thus, under this acceleration the force on the spinning wheel is, F = ma Where m is the mass of the wheel. Substituting the value of acceleration, The force acting on the spinning wheel is, This force is known as the centrifugal force. This force is radially outward from the centre of the spinning wheel.
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