- #1
shayaan_musta
- 209
- 2
Hi!
Why it is necessary to has angle in radians for SHM(Simple pendulum)?
Why it is necessary to has angle in radians for SHM(Simple pendulum)?
tiny-tim said:hi shayaan_musta!
because everything works in radians
in particular, v = rω only works in radians
tiny-tim said:if we use radians, everything is easier …
v = rω
a = rα
etc
tiny-tim said:no … if we use degrees …
v = 2πrω/360
a = 2πrα/360
tiny-tim said:yup!
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.
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.
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.
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.
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.