When an object is traveling in a circle, it requires a force to keep it turning. That force depends on the object's mass m, the distance R it is from the center of the circle, and the angular velocity of the object w (this is lower-case Greek omega) Force has dimensionality of [F] = ML/T². If the above parameters have dimensionalities [m] = M [R] = L [w] = 1/T, propose an equation for the force (the dependent variable, not it's dimensions) that expresses F in terms of m, R, and w and with the correct dimensionality for F. Just use a "w" in place of omega w

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter10: Rotational Motion
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Problem 26P
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When an object is traveling in a circle, it requires a force to keep it turning. That force depends on
the object's mass m, the distance R it is from the center of the circle, and the angular velocity of the
object w (this is lower-case Greek omega)
Force has dimensionality of [F] = ML/T2. If the above parameters have dimensionalities
[m] = M
[R] = L
[w] = 1/T,
propose an equation for the force (the dependent variable, not it's dimensions) that expresses F in
terms of m, R, and w and with the correct dimensionality for F.
Just use a "w" in place of omega w
Transcribed Image Text:When an object is traveling in a circle, it requires a force to keep it turning. That force depends on the object's mass m, the distance R it is from the center of the circle, and the angular velocity of the object w (this is lower-case Greek omega) Force has dimensionality of [F] = ML/T2. If the above parameters have dimensionalities [m] = M [R] = L [w] = 1/T, propose an equation for the force (the dependent variable, not it's dimensions) that expresses F in terms of m, R, and w and with the correct dimensionality for F. Just use a "w" in place of omega w
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