Derivate S=alpha (angle)*R!
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Derivate S=alpha (angle)*R!

[From: ] [author: ] [Date: 12-04-25] [Hit: ]
g.If you differentiate y with respect to x, you get dy/dx = 2x.dy/dx is called the derivative.......
Hi, I want to find ds when s=alpha(angle)*R!

I thought that ds=d(alpha)*R+dR*alpha....and since R= constant, then dR=0!

so ds= d(alpha)*R.


However, my text book says ds=alpha(dot)*R.

I know that alpha(dot) is the derivate of alpha with respect to the time but is d(alpha) always alpha(dot)?

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You are correct. The book is wrong.
dα is not the same as α(dot).
α(dot) means dα/dt.

ds = dαR is correct (providing the motion is circular)

By the way, there is no such word as 'derivate'.
E.g. y = x²
If you differentiate y with respect to x, you get dy/dx = 2x.
dy/dx is called the derivative.
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