# Thread: Trigonometry: Displacement, Frequency, Position, and Ocillation

1. ## Trigonometry: Displacement, Frequency, Position, and Ocillation

An object's motion is described by the equation d=4sin(πt). The displacement, d, is measured in meters. The time, t, is measured in seconds. Answer the following questions:

1. What is the object's position at t = 0?
2. What is the object's maximum displacement from its resting position?
3. How much time is required for one oscillation?
4. What is the frequency?

2. ## Re: Trigonometry: Displacement, Frequency, Position, and Ocillation

Originally Posted by TrinityHarvin
An object's motion is described by the equation d=4sin(πt). The displacement, d, is measured in meters. The time, t, is measured in seconds. Answer the following questions:

What is the object's position at t = 0?
substitute 0 for t and evaluate the value of d

What is the object's maximum displacement from its resting position?
maximum displacement would be d = 4, why?

How much time is required for one oscillation?
what is the period, T, of the expression for d?

What is the frequency?
$f = \dfrac{1}{T}$

3. ## Re: Trigonometry: Displacement, Frequency, Position, and Ocillation

Okie. So say I got 2 seconds for my oscillation time, I would put that in for T and be left with:
f=1/2 ?

4. ## Re: Trigonometry: Displacement, Frequency, Position, and Ocillation

Originally Posted by TrinityHarvin
Okie. So say I got 2 seconds for my oscillation time, I would put that in for T and be left with:
f=1/2 ?
frequency is 1/2 Hz, interpreted as 1 cycle or oscillation every 2 seconds

5. ## Re: Trigonometry: Displacement, Frequency, Position, and Ocillation

Cool! Thanks, man!

6. ## Re: Trigonometry: Displacement, Frequency, Position, and Ocillation

Originally Posted by TrinityHarvin
Okie. So say I got 2 seconds for my oscillation time, I would put that in for T and be left with:
f=1/2 ?
It's Physics! Make sure to use units!

-Dan

10 4!
Thanks!