Finding Time in an Oscillation Problem

In summary, the conversation discusses two scenarios involving vertical oscillators with different masses and springs. In the first scenario, a mass is hung from a vertical spring and oscillates with an amplitude of 2.4 cm, taking 3.0 s to complete one round trip. In the second scenario, a heavier mass and stiffer spring are used on a planet with a different gravitational acceleration. The question asks for the time it takes for the mass to complete one round trip with an amplitude of 3.9 cm. Relevant equations for calculating the period and frequency of oscillation are provided.
  • #1
sheiky989
2
0

Homework Statement



Here on Earth you hang a mass from a vertical spring and start it oscillating with amplitude 2.4 cm. You observe that it takes 3.0 s to make one round trip.

You construct another vertical oscillator with a mass 6 times as heavy and a spring 3 times as stiff. You take it to a planet where gplanet = 8.0 N/kg. You start it oscillating with amplitude 3.9 cm. How long does it take for the mass to make one round trip?

Homework Equations



x = Acos(wt)

w= sqrt(ks/m) = 2pi/T

T= 2pi/w

f = 1/T = w/2pi
 
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  • #2
You know all formulae needed, what do you think?

ehild
 

FAQ: Finding Time in an Oscillation Problem

1. What is the definition of time in an oscillation problem?

Time in an oscillation problem refers to the measurement of the duration of one complete cycle or oscillation. It is typically measured in seconds.

2. How is time related to frequency in an oscillation problem?

Time and frequency are inversely related in an oscillation problem. As the frequency increases, the time for one complete oscillation decreases, and vice versa. This is because frequency is the number of cycles per unit time.

3. Can time be manipulated in an oscillation problem?

Yes, time can be manipulated in an oscillation problem by changing the amplitude or frequency of the oscillation. This can be done through external forces or by altering the system's properties.

4. How is time calculated in an oscillation problem?

Time can be calculated using the formula T = 1/f, where T is the time for one complete oscillation and f is the frequency of the oscillation. It can also be calculated by multiplying the number of cycles by the period of the oscillation.

5. What is the significance of finding time in an oscillation problem?

Finding time in an oscillation problem allows us to understand the behavior of a system over time. It can help us predict the motion of objects and analyze the effects of external forces on the system. Time is also an important factor in determining the energy and amplitude of an oscillation.

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