Calculating Angular Speed for a Gravitational Field of 1.95g

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To calculate the angular speed needed to create an effective gravitational field of 1.95g, the biologist must consider both Earth's gravity and the artificial gravity produced by the rotating table. The relevant equation is a = w^2r, where 'a' is the effective acceleration. The initial calculation of angular speed using the formula sqrt(a/r) resulted in 6.72 rad/sec, but this was identified as incorrect. The correct approach requires incorporating Earth's gravitational acceleration into the total effective gravitational field. The problem emphasizes the importance of accurately combining gravitational forces to determine the necessary angular speed.
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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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