What is the Tension in a Rotating String?

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The discussion revolves around calculating the tension in a string attached to a rotating mass on a frictionless table. Given a mass of 1.00 kg, a string length of 40 cm, and a speed of 2.0 m/s, participants are prompted to apply relevant physics equations. Key equations mentioned include acceleration (a = v^2 / r) and force (f = ma). One participant initially expresses uncertainty about how to approach the problem but later confirms they figured it out. The conversation highlights the importance of understanding the forces acting on the rotating body to solve for tension.
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Homework Statement



A body of mass 1.00kg is tied to a string and rotates on a horizontal, frictionless table. If the length of the string is 40cm and the speed of revolution is 2.0m/s, find the tension of the string.


Homework Equations



a = v^2 / r

f = ma

v = 2∏rf

Thanks :)
 
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Rohaaan said:

Homework Statement



A body of mass 1.00kg is tied to a string and rotates on a horizontal, frictionless table. If the length of the string is 40cm and the speed of revolution is 2.0m/s, find the tension of the string.


Homework Equations



a = v^2 / r

f = ma

v = 2∏rf

Thanks :)

Care to show us your attempts. ;)

What are the forces acting on the body?
 
I would attempt it, but I don't really know how to go about it. :(
 
Rohaaan said:
I would attempt it, but I don't really know how to go about it. :(

Can you tell what forces are acting on the body?
 
Don't worry man, I just worked it out thanks. :)
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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