Circular Motion - Pendulum swinging

AI Thread Summary
A pendulum swinging in a circular arc experiences both centripetal and tangential acceleration due to gravity. To find the magnitudes of these components when the pendulum bob is at a speed of 2.7 m/s and an angle of 15 degrees, the centripetal acceleration can be calculated using the formula ac = v^2/r, where r is the length of the pendulum. The tangential acceleration requires additional information about angular acceleration. The centripetal acceleration is maximized at the lowest point of the swing, where the tangential acceleration is zero. Understanding these concepts is crucial for solving the problem accurately.
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Homework Statement


A pendulum swinging in a circular arc under the influence of gravity has both centripetal and tangential components of acceleration. (a) If the pendulum bob has a speed of 2.7m/s when the cord makes an angle of \Theta =15 deg with the vertical, what are the magnitudes of the components at this time? (b) where is the centripetal acceleration a maximum? What is the value of the tangential acceleration at that location?

Length of the pendulum equals 0.75m

Homework Equations


ac=v^2/r

at=r\alpha


The Attempt at a Solution



So I need to find the magnitude of ac, a, and at.

I have a Length, an angle, speed and gravity.

ac=2.7m/s^2/0.75
at=0.75(?)
a=?
 
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