Angular acceleration of machinery

AI Thread Summary
The discussion focuses on calculating the angular deceleration of a machinery that slows from 760 rpm to 480 rpm over 210 revolutions. The user initially applied the equation ω² = ω₀² + 2αΔθ but encountered an error in their calculation, suspecting unit confusion. A suggestion was made to convert the rotational speeds from rpm to radians per second and to express the distance in radians for accuracy. The correct conversion method involves using the formula 760 rpm x 2π / 60 to obtain the angular velocity in rad/s. Proper unit conversion is crucial for accurate results in angular motion calculations.
Lance WIlliam
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A piece of machinery is spinning at 760rpm . When a brake is applied, its rotation rate drops to 480rpm while it turns through 210 revolutions.


What is the magnitude of the angular deceleration?

Answer in Rad/s^2

Eqn I used:\omega^2=\omega_0_^2+2\alpha(change in theta)

I put 480^2=760^2+2(alpha)210



I got 3.79e-3...
Wrong...:(
what did I do wrong? Ithink its the units, they are very confusing.
 
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i'd convert the distance to radians, and all the speeds to radians per sec right off the bat. so 760 rpm x 2pi / 60 would give you rad/s for example
 
Thankyou
 
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