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# Vertical Displacement watch

1. The vertical displacement y of the tip of a cantilever beam at a time t is approximated by the formula

y=0.05 sin(6.5t)

If y=0.04 m, find all possible values of t for the range 0≤t≤0.5 s.

I got an answer of 0.143 but I'm not sure where to go from there, if the range was in degrees or radians I would be fine but the time has thrown me off
2. (Original post by Romello95)
The vertical displacement y of the tip of a cantilever beam at a time t is approximated by the formula

y=0.05 sin(6.5t)

If y=0.04 m, find all possible values of t for the range 0≤t≤0.5 s.

I got an answer of 0.143 but I'm not sure where to go from there, if the range was in degrees or radians I would be fine but the time has thrown me off
I presume that radians is correct:

In radians: the period of motion is (2pi)/6.5 which seems reasonable in the context.

In degrees, the period of the motion is 360/6.5 which does not!
3. (Original post by dpm)
I presume that radians is correct:

In radians: the period of motion is (2pi)/6.5 which seems reasonable in the context.

In degrees, the period of the motion is 360/6.5 which does not!
I got 0.341s and 0.143s, is that correct?
4. (Original post by Romello95)
I got 0.341s and 0.143s, is that correct?
Just plotted it, and, yes, those are correct.
5. (Original post by Romello95)
I got 0.341s and 0.143s, is that correct?
yes.

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