A body of mass m=10kg is attached to one end of a wire of length 0.3m. The maximum angular speed ( in rad s- 1 ) with which it can be rotated about its other end in space station is (Breaking stress of wire =4.8× 107Nm- 2 and area of cross section of the wire = 10- 2 cm2 is :

Question

A body of mass m=10kg is attached to one end of a wire of length 0.3m. The maximum angular speed ( in rad s- 1 ) with which it can be rotated about its other end in space station is (Breaking stress of wire =4.8× 107Nm- 2 and area of cross section of the wire = 10- 2 cm2 is : (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

(T/A)=σ .......(1) T=mω 2ℓ ......(2) Solving ω =4rad/s <img class="img-fluid question-image" alt="Solution" src="https://cdn.tardigrade.in/q/nta/p-fkqvxxs3jrjmp3t9.jpg" />

Q. A body of mass m=10kg is attached to one end of a wire of length 0.3m. The maximum angular speed ( in rad s−1 ) with which it can be rotated about its other end in space station is (Breaking stress of wire =4.8×107Nm−2 and area of cross section of the wire =10−2cm2 is :

AT​=σ .......(1) T=mω2ℓ ......(2) Solving ω=4rad/s

$\frac{T}{A} = σ$ .......(1)
$T = m ω^{2} ℓ$ ......(2)
Solving $ω = 4 r a d / s$