Does a swinging pendulum experience centripetal acceleration?

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Discussion Overview

The discussion revolves around whether a swinging pendulum, specifically in the context of swinging arms while holding a glass of water, experiences centripetal acceleration. Participants explore the relationship between centripetal acceleration, velocity, and radius, as well as the implications of these concepts in practical scenarios.

Discussion Character

  • Exploratory
  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • Some participants assert that the swinging motion does involve centripetal acceleration, particularly noting that it is greatest at the bottom of the swing and zero at the top.
  • There is a discussion about the formula for centripetal acceleration (centripetal acceleration = velocity^2/Radius) and its application in determining radius based on velocity readings.
  • One participant expresses confusion regarding changing radius values when applying the centripetal acceleration formula at various points along the pendulum's path.
  • Another participant suggests that if the radius is constant, it should be measurable directly, implying that the centripetal acceleration should vary instead.
  • Concerns are raised about discrepancies between expected and calculated values for radius based on instantaneous velocity and centripetal acceleration.

Areas of Agreement / Disagreement

Participants generally agree that centripetal acceleration is a factor in the swinging motion, but there is disagreement regarding the application of the centripetal acceleration formula and the behavior of radius values in relation to velocity and acceleration.

Contextual Notes

Participants mention the need for clarity on the definitions of tangential and centripetal acceleration, as well as the conditions under which they are measuring these values. There are unresolved issues regarding the consistency of radius measurements and the expected outcomes based on theoretical calculations.

Who May Find This Useful

This discussion may be useful for individuals interested in the dynamics of pendulum motion, centripetal acceleration, and the mathematical relationships involved in circular motion, particularly in practical applications and experimental setups.

Sam Smith
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I am curious, when you are swinging your arms back and forth whilst holding a glass of water as you would with a pendulum would it experience centripedal acceleration? I would assume that it would?
 
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Yes. It will experience centripetal acceleration. At the bottom of the swing when your hands are at the greatest velocity, the centripetal acceleration will be greatest. At the top of the swing when your hands come to momentary rest, the centripetal acceleration will be momentarily zero.

Of course there will be back and forth tangential acceleration as well. The water may slosh in the glass.
 
Sam Smith said:
I am curious, when you are swinging your arms back and forth whilst holding a glass of water as you would with a pendulum would it experience centripedal acceleration?
To move on a circle arc, it must undergo centripetal acceleration.
 
Yes what is confusing me is that centripedal acceleration = velocity^2/Radius
if you then wnated to use velocity reading in the x direction and centripedal acceleration to find radius ie Velocity^2/centripedal acceleration then the radius would change how can I find the accurate reading for the radius?
 
Sam Smith said:
centripedal acceleration = velocity^2/Radius
if you then wnated to use velocity reading in the x direction
You have to use the tangential velocity (perpendicular to radius).
 
I am using that value at various points along the pendulum's path and I am also using the centripedal acceleration at the same points along the pendulum however my values for radius are changing and are not what I would be expecting
 
Sam Smith said:
I am also using the centripedal acceleration
How did you get it?

Sam Smith said:
my values for radius are changing
If your radius is constant, just measure it with a ruler. The centripetal acceleration must change not the radius.
 
Yes I have measured with a ruler but if everything is working correctly the above equation should give me the correct value but it doesnt. At the moment I have decided to take the value where velocity is at the greatest so I have taken this instaneous value .^2/acceleration at this angle however, the two values don't match
 
Sam Smith said:
so I have taken this instaneous value .^2/acceleration at this angle
Again, where did you get the acceleration value from?
 

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