What Is the New Rotation Period for Zero Apparent Weight at the Equator?

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SUMMARY

The discussion focuses on calculating the new rotation period required for an object at the equator of a planet with a radius of 4.4 x 106 m and a surface gravity of 10 m/s2 to achieve zero apparent weight. The original rotation period is 25 hours. To achieve zero apparent weight, the centripetal acceleration must equal gravitational acceleration, leading to a new period calculation. The participant also seeks clarification on the concept of zero apparent weight, which is defined as the condition where the normal force on an object is zero.

PREREQUISITES
  • Understanding of centripetal acceleration and its relation to gravitational force
  • Familiarity with Newton's second law of motion
  • Basic knowledge of free body diagrams
  • Ability to perform calculations involving angular velocity and period
NEXT STEPS
  • Calculate the new rotation period using the formula for centripetal acceleration
  • Explore the relationship between angular velocity and linear velocity
  • Research the concept of apparent weight and its implications in physics
  • Investigate the effects of varying rotational speeds on gravitational forces
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and gravitational forces, as well as educators seeking to explain concepts of apparent weight and rotational motion.

muahe
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Homework Statement


A planet similar to the Earth has a radius 4.4*10^6m and has an acceleration of gravity of 10 m/s^2 on the planet's surface.The planet rotates about its axis with a period of 25h. Imagine that the rotational speed can be increased.
a/If an object at the equator is to have zero apparent weight, what is the new period?
b/By what factor would the speed of the object be increased when the planet is rotating at the higher speed?


Homework Equations





The Attempt at a Solution



I found the Velocity of the planet = 6633.25, but then i don't know what do to next. I don't understand what does " obj. has zero apparent weight" mean?
b/ i have no idea about it...
 
Physics news on Phys.org
Regarding "zero apparent weight": Imagine you are standing on a scale. What the scale is actually reading is not your weight, but rather the normal force exerted on you by the scale. Draw a free body diagram and set up Newton's second law, and then ask yourself under what condition would that normal force drop to zero.
 

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