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

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Homework Help Overview

The problem involves calculating angular velocity and force related to a mass rotating in a horizontal circle. The context includes a mass attached to a string and rotating at a specified speed, with specific parameters given for mass and length of the string.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss methods to calculate angular velocity and force, with one suggesting a formula for angular velocity based on gravitational height. Others explore the relationship between rotational speed in rpm and angular velocity, and the implications for tension in the string.

Discussion Status

The discussion includes various attempts to approach the problem, with some participants providing partial calculations and others questioning the assumptions made in the setup. There is no explicit consensus on the methods, but several lines of reasoning are being explored.

Contextual Notes

Participants note the need to convert rotational speed from rpm to a different unit and consider the geometry of the setup, including the height of the mass and the angle of the string. There is an indication of missing information regarding the specific calculations for part b.

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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