Rotational kinetic energy of jupiter

In summary, to find the rotational kinetic energy of Jupiter, we can use the equations I = 2mr^2/5, Krot = I * omega^2/2, and omega = 2pi/T. Substituting the given values of 1.898e27 kg for mass and 71492000 meters for radius, we can calculate the moment of inertia and then use it to find the rotational kinetic energy of Jupiter. Make sure to check your units and arithmetic for accuracy.
  • #1
gbabe197
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0

Homework Statement


What is the rotational kinetic energy of Jupiter? Assume Jupiter is a uniform sphere with a rotational period of 9.81 hr.


Homework Equations



I= 2mr^2/5
Krot= I*omega^2/2
omega= 2pi/T

The Attempt at a Solution


i found the omega using the equation above and the period given
Then i found the moment of inertia using the equation above as well. Took the mass as 1.898e27 kg. and the radius as 71492000 metres.

I substituted both of these into the equation of rotational kinetic energy and did not get the right answer. any help would be appreciated
 
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  • #2
Sounds like you have the correct approach. Check your units and your arithmetic.
 

Related to Rotational kinetic energy of jupiter

What is rotational kinetic energy?

Rotational kinetic energy is the energy an object possesses due to its rotation around an axis. It is dependent on the object's mass, radius, and angular velocity.

How is rotational kinetic energy calculated for Jupiter?

The rotational kinetic energy of Jupiter can be calculated using the formula KE = (1/2)Iω^2, where KE is the rotational kinetic energy, I is the moment of inertia, and ω is the angular velocity.

What is the moment of inertia for Jupiter?

The moment of inertia for Jupiter depends on its mass distribution and rotation axis. It is estimated to be approximately 9.98 x 10^37 kg m^2.

How does Jupiter's rotational kinetic energy affect its atmosphere and weather patterns?

Jupiter's high rotational kinetic energy contributes to the strong winds and storms in its atmosphere, including the famous Great Red Spot. It also helps to maintain the planet's shape and prevent it from collapsing under its own gravity.

Can the rotational kinetic energy of Jupiter change over time?

Yes, the rotational kinetic energy of Jupiter can change over time due to changes in its mass distribution or rotation rate. For example, interactions with its moons or collisions with other objects can affect its rotational kinetic energy.

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