Trigonometry: Displacement, Frequency, Position, and Ocillation

Mar 2019
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0
United States
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?
 
Dec 2014
129
101
USA
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?
$f = \dfrac{1}{T}$
 
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Mar 2019
14
0
United States
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 ?