Is 51 micro joules the maximum kinetic energy of this pendulum?

[Bolter]

Homework Statement

Calculate the maximum kinetic energy of the pendulum

Relevant Equations

angular speed = 2 pi/T

KE = 1/2mv^2

So I have been given a question here which asks me to work out the maximum kinetic energy of the pendulum

It has given info such as time period and amplitude, which I had then made use of these formulas

Does a kinetic energy of approx 50.98 micro joules seem right here?

Any help would be great! Thanks alot

 

[Gaussian97]

I think it's okay (I didn't pay very much attention to the numbers). But if you were my student, I would highly recommend you to put always the units so, when computing $v_{max}$, put
$$v_{max}=2.9 \text{ s}^{-1}\cdot 0.05 \text{m} = 0.14 \text{ms}^{-1}$$ and so on.

 

[PeroK]

Homework Statement:: Calculate the maximum kinetic energy of the pendulum
Relevant Equations:: angular speed = 2 pi/T

KE = 1/2mv^2

View attachment 257680
So I have been given a question here which asks me to work out the maximum kinetic energy of the pendulum

It has given info such as time period and amplitude, which I had then made use of these formulas

View attachment 257681

Does a kinetic energy of approx 50.98 micro joules seem right here?

Any help would be great! Thanks alot

Looks about right.

You could calculate the answer using maximum potential energy to check it yourself.

 

[gmax137]

How is "amplitude" in centimeters defined? Is it the change in elevation, or is it an arc-length? Does the answer (max KE) depend on the gravity field (are we on the Earth or the moon)? I'm trying to figure out if we need those defined, or if period (which gives L/g) is sufficient to answer.

 

[haruspex]

Does a kinetic energy of approx 50.98 micro joules seem right here?

You should not quote more significant figures than in your least precise input, so make it 51.