Calculating Angular Speed for a Gravitational Field of 1.95g

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SUMMARY

The discussion focuses on calculating the angular speed required to create an effective gravitational field of 1.95g for plants placed on a rotating table. The biologist's setup involves a distance of 42.3 cm from the axis of rotation. The equation used is a = w²r, leading to the calculation of angular speed (w) as 6.72 rad/sec. However, the solution is incorrect as it fails to account for Earth's gravitational field, necessitating a reevaluation of the effective gravitational force.

PREREQUISITES
  • Understanding of angular motion and centripetal acceleration
  • Familiarity with gravitational force concepts
  • Knowledge of the equation a = w²r
  • Basic algebra for solving equations
NEXT STEPS
  • Review the concept of effective gravitational fields in rotating systems
  • Learn how to incorporate Earth's gravitational acceleration (9.81 m/s²) into calculations
  • Study the relationship between angular speed and radius in circular motion
  • Explore practical applications of artificial gravity in biological experiments
USEFUL FOR

Biologists studying plant growth under varying gravitational conditions, physics students learning about angular motion, and researchers interested in the effects of artificial gravity on living organisms.

sona1177
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Homework Statement


A biologist studying plant growth and wants to stimulate a gravitational field stronger than the Earth's. She places the plants on a horizontal rotating table in her laboratory (on Earth) at a distance of 42.3 cm from the axis of rotation. What angular speed will give the plants an effective gravitational field , geff, of magnitude 1.95 g? [Hint: Remember to account for Earth's gravitational field as well as the artificial gravity when finding the effective gravitational field.


Homework Equations


a=w^2r



The Attempt at a Solution


sq rt (a/r)=w
sq rt (1.95g/.423)=w=6.72 rad/sec
This is wrong according to my text. How do i do this problem?
 
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sona1177 said:

Homework Statement


A biologist studying plant growth and wants to stimulate a gravitational field stronger than the Earth's. She places the plants on a horizontal rotating table in her laboratory (on Earth) at a distance of 42.3 cm from the axis of rotation. What angular speed will give the plants an effective gravitational field , geff, of magnitude 1.95 g? [Hint: Remember to account for Earth's gravitational field as well as the artificial gravity when finding the effective gravitational field.


Homework Equations


a=w^2r

The Attempt at a Solution


sq rt (a/r)=w
sq rt (1.95g/.423)=w=6.72 rad/sec
This is wrong according to my text. How do i do this problem?


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