Calculating Tangential and Angular Velocity?

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Homework Help Overview

The discussion revolves around calculating the tangential and angular velocity of the Moon's orbit around the Earth. The original poster seeks clarification on the definitions and calculations involved, particularly regarding the relationship between tangential velocity and angular velocity.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to calculate angular velocity using the formula omega = d(theta) / dt, but questions the use of 360 degrees versus 2*pi radians. They also express uncertainty about the formula for tangential velocity and its relationship to angular velocity.

Discussion Status

Participants are actively engaging with the original poster's questions, providing clarifications on the use of radians and the meaning of multiplication in formulas. There is a focus on ensuring the correct understanding of angular velocity and its calculation.

Contextual Notes

The original poster has been given specific values related to the Moon's orbit, including its distance from Earth and periods, which are relevant to the calculations but not fully utilized in the discussion yet.

Bananarama
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Hello, I have been set a question for homework that ask's "calculate the tangential velocity (v) and the angular velocity (omega) of our moons orbit". The teacher has lead me to believe that tangential velocity is just regular velocity? is this correct?. I understand what angular velocity is, but i do not understand how to calculate it, using the values given. Any help, or some kind of starting point would be greatly appreciated.



We have been given the values of:
distance from Earth to Moon (centre - centre) = 3.844 E8 metres
Moon's Sidereal period = 27.322 days
Moon's synodic period = 29.53 days
Radius of Earth (Re) = 6.378 E6 metres
Radius of Moon (Rm) = 1.738 E6 metres
(I use E to represent X 10 to the power of)



I have attempted tp use omega = d(theta) / dt, which gave me a result of 152.502 E-6 rad/s. I used 360 as theta and 27.322 days as the time (2360620.8 seconds)
 
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If you want an angular velocity in rad/sec, shouldn't you use total angle=2*pi, rather than 360 degrees? Or did you want it in degrees per second?
 
Oops, i forgot that it should be 2*pi.

I do need it in rad/sec. Because the formula i was going to use for tangential velocity is v = r*angular velocity ( I am not even sure if that formula is correct). But the angular velocity is measured in rad/sec.
 
What does the * mean?? I am doing that exact question and i don't understand a thing?? please help and when you say 2*pi does that mean 2 X 3.1415... which = 6.283... and X means multiplied??
 
Last edited:
Sammm#121212 said:
What does the * mean?? I am doing that exact question and i don't understand a thing?? please help and when you say 2*pi does that mean 2 X 3.1415... which = 6.283... and X means multiplied??

Sure '*' just means multiply.
 

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