If the string can withstand a maximum tension of 60.9 N, what is the maximum tan
ID: 1791175 • Letter: I
Question
If the string can withstand a maximum tension of 60.9 N, what is the maximum tangential speed the disc can have before the cord breaks? HINT: The centripetal force exerted by the string on the mass must be the result of all the forces acting, i.e. the tension.
The disc is whirled in a vertical circle of the same radius about a fixed point. Find the tension at the top if the speed at the top is 2.27 m/s. HINT: The centripetal force whish is the force that accelerates the mass towards the center, equals the sum of all of the forces acting on the mass. At the top, both the mass and the tension provide that force.
- - - - - - - - - - - - - - - - - - - - - - - - 1 P - - - - - - -Explanation / Answer
1] F = m*v^2/r
60.9 = 1.99*v^2/0.39
v = sqrt(60.9*0.39/1.99)
= 3.45 m/s
2] F' = m*v'^2/r
= 1.99*2.27^2/0.39
= 26.29 N
but we have that:
F = T + P
= T + 1.99*9.8 (considering gravity as 9.8 m/s^2)
therefore: T = F - P = 26.29 - (1.99*9.8)
= 6.788 N
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