Angular Acc. Homework: Calculate Centripetal & Angular Acc.

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SUMMARY

The discussion focuses on calculating angular and centripetal acceleration for an airplane making a circular turn with a radius of 9 km at a constant speed of 650 km/h. The angular velocity was determined to be 0.02 rad/s, and the centripetal acceleration calculated as 3.62 m/s². It is established that both angular acceleration and tangential acceleration are zero due to the constant speed, confirming that the angular velocity remains unchanged throughout the turn.

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Jam51
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Homework Statement


An airplane makes a circular turn of radius 9 km at a constant speed of 650 km/h. Calculate the magnitude of the plane's a. angular velocity, b. centripetal acceleration, c. angular acceleration, d. tangential acceleration

Homework Equations


w = v/r
aR = w^2r

The Attempt at a Solution



I found angular velocity to be 0.02rad/s and centripetal acceleration to be 3.62m/s^2

If the speed is constant would the angular and tangential acceleration be zero? I'm not sure that I am understanding the theory behind this.
 
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Definitely :smile:. Angular acceleration ## \alpha = {\Delta \omega\over \Delta t} = 0 ## for constant angular velocity ##\omega##.
And tangetial acceleration is ##\alpha r##; both are constant in your exercise. On to the next one !
 
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