# Angle for SHM(Simple pendulum)

• shayaan_musta
In summary, the conversation discusses the use of radians in simple harmonic motion (SHM). It is necessary to use radians because equations such as v = rω and a = rα only work in radians. The use of radians makes calculations easier, as opposed to using degrees which would require conversion.
shayaan_musta
Hi!

Why it is necessary to has angle in radians for SHM(Simple pendulum)?

hi shayaan_musta!

in particular, v = rω only works in radians

tiny-tim said:
hi shayaan_musta!

in particular, v = rω only works in radians

I need a explanation that why don't we use degree instead of radians??

Why physicist agree to use radians particularly.

if we use radians, everything is easier …

v = rω

a = rα

etc

tiny-tim said:
if we use radians, everything is easier …

v = rω

a = rα

etc

This implies that if we use degree it is also OK. But use of radians is more easy that degree??
Right?

no … if we use degrees

v = 2πrω/360

a = 2πrα/360

tiny-tim said:
no … if we use degrees

v = 2πrω/360

a = 2πrα/360

You mean, for degree we have to use this conversion??

yup!

tiny-tim said:
yup!

OK. Thanks tiny-tim :)

## 1. What is the angle for SHM of a simple pendulum?

The angle for SHM of a simple pendulum is the maximum angle that the pendulum swings from its equilibrium position. This angle is also known as the amplitude of the pendulum's motion.

## 2. How is the angle for SHM of a simple pendulum related to its period?

The angle for SHM of a simple pendulum is directly proportional to its period. This means that if the amplitude increases, the period of the pendulum's motion will also increase.

## 3. Can the angle for SHM of a simple pendulum be greater than 90 degrees?

No, the angle for SHM of a simple pendulum cannot be greater than 90 degrees. This is because the pendulum will reach its maximum potential energy and will not be able to swing back to its original position if the angle is greater than 90 degrees.

## 4. How does the length of a simple pendulum affect its angle for SHM?

The length of a simple pendulum has an inverse relationship with its angle for SHM. This means that as the length of the pendulum increases, the angle for SHM decreases and vice versa. This can be explained by the fact that a longer pendulum will take longer to complete one oscillation, resulting in a smaller angle.

## 5. Does the angle for SHM of a simple pendulum change over time?

Yes, the angle for SHM of a simple pendulum will gradually decrease over time due to the effects of air resistance and friction. This is known as damping and it causes the pendulum to lose energy and eventually come to a stop.

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