Calculate Angular Velocity & Force: Mass m, Length 1.25m, Speed 25rpm

AI Thread Summary
To calculate the angular velocity of a mass rotating in a horizontal circle, the formula w^2 = g/h can be used, yielding an angular velocity of 3.61 rad/s. For part b, the speed of rotation at 25 rpm can be converted to frequency in 1/sec to find the angular velocity. The height (h) and angle of the string can then be determined, allowing for the calculation of tension as the horizontal component. The vertical component can be derived from the mass, leading to the total force on the table. This approach provides a systematic method for solving both parts of the problem.
bahramm
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Hi guys. I need some help to solve this question.

(a) A body of mass m kg is attached to a point by string of length
1.25 m. If the mass is rotating in a horizontal circle 0.75 m below the
point of attachment, calculate its angular velocity.

(b) If the mass rotates on a table, calculate the force on the table when
the speed of rotation is 25 rpm and the mass is 6 kg.
 
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Where Is your attempt?
 
I got part a) w^2=g/h w=3.61 rad s^-1
part b ?
 
find the the angular velocity from "the speed of rotation is 25 rpm" if i understand it correctly they gave You the frequency(convert to 1/sec) no problems getting W.
then you can find the H,and the angle the sting is spread.
find the tension(first horizontal component) than find the vertical component, and the rest is easy.
good luck I'm off now.
 

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