Displacement of an object in circular motion

AI Thread Summary
The discussion revolves around solving a physics problem related to an object in circular motion, specifically focusing on angular frequency and displacement equations. The angular frequency was calculated as 1 rad/s. Participants are encouraged to use the equation x = Acos(ωT + δ) for the x-direction displacement and are prompted to determine appropriate values for ω and the phase constant δ. Additionally, there is a need to derive the equation for y-displacement and identify the first time after t = 0 when y equals 0. The conversation emphasizes the application of circular motion equations to find the required displacements.
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Homework Statement


A1. An object undergoing circular motion is pictured below at time t = 0 s.
(a) What is the angular frequency of the object?
(b) What is the equation of the displacement of the object in the x-direction?
(c) What is the equation of the displacement of the object in the y-direction?
(d) What is the y-displacement of the object at t = 0 s?
(e) What is the first time after t = 0 s that y = 0?

I can't put the diagram on here but its a circle on x/y axis with the object in the lower right quadrant where θ=45° and v=2m/s and the r=2m

Homework Equations


T=2∏r/v
ω=2∏/T
x=Acos(ωT+δ)

The Attempt at a Solution


Ive managed to do part (a) using the equations above and got 1rad/s
However I am not sure on the rest, i was thinking of using x=Acos(ωT+δ) but I am not sure how

cheers for any advice
 
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jami8337 said:

Homework Statement


A1. An object undergoing circular motion is pictured below at time t = 0 s.
(a) What is the angular frequency of the object?
(b) What is the equation of the displacement of the object in the x-direction?
(c) What is the equation of the displacement of the object in the y-direction?
(d) What is the y-displacement of the object at t = 0 s?
(e) What is the first time after t = 0 s that y = 0?

I can't put the diagram on here but its a circle on x/y axis with the object in the lower right quadrant where θ=45° and v=2m/s and the r=2m

Homework Equations


T=2∏r/v
ω=2∏/T
x=Acos(ωT+δ)

The Attempt at a Solution


Ive managed to do part (a) using the equations above and got 1rad/s
However I am not sure on the rest, i was thinking of using x=Acos(ωT+δ) but I am not sure how
Yes, carry on with that. What values do you ascribe to ω and δ? What equation will you write for y(t)?
 

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