Radial and Tangential Acceleration

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SUMMARY

The discussion focuses on calculating the radial and tangential acceleration of a particle moving clockwise in a circular path with a radius of 2.5 meters and an initial acceleration of 15.0 m/s². To determine the speed of the particle, one must first calculate it using the provided acceleration. The standard formulas for radial and tangential acceleration are then applied to derive the required values. The angle of 30 degrees is also relevant in the calculations for determining the components of acceleration.

PREREQUISITES
  • Understanding of circular motion dynamics
  • Familiarity with radial and tangential acceleration formulas
  • Basic trigonometry for angle conversions
  • Knowledge of kinematic equations
NEXT STEPS
  • Calculate radial acceleration using the formula a_r = v²/r
  • Determine tangential acceleration using the formula a_t = αr
  • Explore the relationship between angular velocity and linear speed
  • Study the effects of varying radius on acceleration in circular motion
USEFUL FOR

Physics students, educators, and anyone studying mechanics or circular motion dynamics will benefit from this discussion.

duey_rando
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I can't figure out how to do this for the instant time or with the limited information.

A particle moving clockwise in a circle of radius 2.5 m at a certain instant of a time. For that instant, find (a) the radial acceleration of the particle (b) the speed of the particle and (c) it tangential acceleration.

Radius= 2.5m
Theta= 30 degrees
a= 15.o m/s^2
 
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welcome to pf!

hi duey_rando! welcome to pf! :wink:

do you mean that it starts with speed 0, and accelerates at 15.0 m/s2 ?

if so, find the speed first, then use the standard formulas to find the radial and tangential acceleration :smile:
 

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