Radial and tangential acceleration

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SUMMARY

The discussion focuses on calculating radial and tangential acceleration for a point on a rotating turntable, specifically at a distance of 21.5 cm from the center. The point accelerates from rest to a speed of 0.800 m/s over 1.75 seconds. Key equations used include radial acceleration (a_r = -v^2/r) and tangential acceleration (a_t = d|v|/dt). Participants seek clarification on the calculations and values used to determine the magnitudes and directions of these accelerations at t = 1.28 seconds.

PREREQUISITES
  • Understanding of circular motion concepts
  • Familiarity with acceleration equations
  • Knowledge of angular velocity and its relationship to linear velocity
  • Basic algebra for solving equations
NEXT STEPS
  • Calculate radial acceleration using a_r = -v^2/r for various speeds
  • Explore tangential acceleration calculations with different time intervals
  • Study the relationship between angular velocity and linear velocity
  • Investigate total acceleration in circular motion scenarios
USEFUL FOR

Students studying physics, particularly those focusing on rotational dynamics, as well as educators seeking to clarify concepts of radial and tangential acceleration.

steph35
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Homework Statement


A point on a rotating turntable 21.5 cm from the center accelerates from rest to a final speed of 0.800 m/s in 1.75 s. At t = 1.28 s, find the magnitude and direction of each of the following.


Homework Equations


(a) the radial acceleration

(b) the tangential acceleration

(c) the total acceleration of the point
? m/s^2, ? °


The Attempt at a Solution


for this i used the right equations for the give times and substituded V= 2pir/T but i didnt get the right answer. i used a_r= -v^2/r and a_t= d|v|/dt...can somebody explain it in a simple way...
 
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Hi steph35,

steph35 said:

Homework Statement


A point on a rotating turntable 21.5 cm from the center accelerates from rest to a final speed of 0.800 m/s in 1.75 s. At t = 1.28 s, find the magnitude and direction of each of the following.


Homework Equations


(a) the radial acceleration

(b) the tangential acceleration

(c) the total acceleration of the point
? m/s^2, ? °


The Attempt at a Solution


for this i used the right equations for the give times and substituded V= 2pir/T but i didnt get the right answer. i used a_r= -v^2/r and a_t= d|v|/dt...can somebody explain it in a simple way...

What numbers did you use, and what answers did you get for the three accelerations?
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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