Q.4) SAFEFind the angularmomentum of a body of mass 200gm attach to st

1.	Q.4) SAFEFind the angularmomentum of a body of mass 200gm attach to string of length 4 mrevolve in horizontal Circle if thestring break under tension of 40 kgof weight. WORKING LOAD (SWL)
Answer» A CERTAIN string breaks under a tension of 45kgwt. A mass of 100g is attached to this string of length 500cm and whirled in a horizontal circle. Find the MAXIMUM number of revolutions per second without breaking the string. Explanation: As given that breaking tension of string is 45kgwt=45×10N=450N so the tension in the string when we ROTATE the mass should be less than 450N ⇒T≥mω 2 R ⇒ω≤ mR T given that m=0.1kg, R=5m ⇒ω≤ 0.1×5 450 ⇒ω≤ 900 ⇒ω≤30rad/s as we know r.p.s.(REVOLUTION per sec)×2π=ω ⇒r.p.s.= 2π ω = 2π 30 =4.729

Q.4) SAFEFind the angularmomentum of a body of mass 200gm attach to string of length 4 mrevolve in horizontal Circle if thestring break under tension of 40 kgof weight. WORKING LOAD (SWL)

Answer»

A CERTAIN string breaks under a tension of 45kgwt. A mass of 100g is attached to this string of length 500cm and whirled in a horizontal circle. Find the MAXIMUM number of revolutions per second without breaking the string.

Explanation:

As given that breaking tension of string is 45kgwt=45×10N=450N so the tension in the string when we ROTATE the mass should be less than 450N

⇒T≥mω

⇒ω≤

given that m=0.1kg, R=5m

⇒ω≤

0.1×5

450

⇒ω≤

900

⇒ω≤30rad/s

as we know r.p.s.(REVOLUTION per sec)×2π=ω

⇒r.p.s.=

2π

=4.729

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