Question

A mass of 2 kg is whirled in a horizontal circle by means of a string at
an initial speed of 5 rpm. Keeping the radius constant, the tension in
the string is doubled. The new speed is nearly

Answer 1

Answer:

7.1 rpm

Explanation:

Sum of forces on the mass in the centripetal direction:

∑F = ma

T = m ω²r

ω² = T / mr

If the mass and radius are kept constant, and the tension is doubled, then the new speed is:

ω² = 2T / mr

ω² = 2 ω₀²

ω = √2 ω₀

ω = 5√2 rpm

ω ≈ 7.1 rpm