Does a swinging pendulum experience centripetal acceleration?

AI Thread Summary
A swinging pendulum does experience centripetal acceleration, which is greatest at the bottom of the swing when the velocity is highest and momentarily zero at the top. The discussion highlights the relationship between centripetal acceleration and radius, emphasizing that centripetal acceleration equals velocity squared divided by radius. Users express confusion about calculating the radius when using varying velocity readings and centripetal acceleration values. It is noted that if the radius is constant, it should not change, and accurate measurements should be taken directly. The conversation revolves around ensuring consistent values for radius and acceleration to validate the calculations.
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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