Circular Motion - Pendulum swinging

In summary, a pendulum swinging in a circular arc under the influence of gravity has both centripetal and tangential components of acceleration. The magnitude of the components at a bob speed of 2.7m/s and an angle of 15 deg with the vertical can be found using the equations ac=v^2/r and at=r\alpha. The length of the pendulum is 0.75m. The centripetal acceleration is maximum at the bottom of the arc, and the tangential acceleration at that point can be calculated using the equation at=r\alpha.
  • #1
bahrmd
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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 [tex]\Theta[/tex] =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[tex]\alpha[/tex]


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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  • #2
Hi man you still need the help?
 

1. What is circular motion?

Circular motion is the movement of an object along a circular path, where its velocity and acceleration are constantly changing due to the direction of motion.

2. How does a pendulum swing?

A pendulum swings due to the force of gravity pulling the mass of the pendulum towards the center of the Earth. The weight of the pendulum causes it to swing back and forth, creating a circular motion.

3. What factors affect the pendulum's swing?

The length of the pendulum, the weight of the pendulum, and the force of gravity are all factors that affect the pendulum's swing. The longer the pendulum, the slower it will swing. The heavier the pendulum, the faster it will swing. And the stronger the force of gravity, the quicker the pendulum will swing.

4. How is circular motion related to pendulum swinging?

Pendulum swinging is a type of circular motion, as the pendulum follows a circular path as it swings back and forth. The acceleration of the pendulum is also constantly changing, making it an example of circular motion.

5. Can the pendulum's swing be used to measure time?

Yes, the pendulum's swing can be used to measure time. This is due to the fact that the time it takes for the pendulum to complete one full swing is constant, regardless of the amplitude of the swing. This is why pendulums were historically used in clocks to keep time.

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