Question

A 3.0kg mass tied to a string

is swirled round with a uniform
speed of 20.0mls. If the length of
the string is 40cm Find the
tension in the string ​

Answer 1

`\boxed{\sf Tension \ in \ the \ string \ (T) = 3 \ kN}`

Given:

Mass (m) = 3.0 kg

Uniform speed (v) = 20 m/s

Length of string (r) = 40 cm = 0.4 m

To Find:

Tension in the string (T)

Step-by-step explanation:

Tension (T) is the string will be equal to centripetal force (
`\sf F_c`).

`\boxed{ \bold{ T = F_c = \frac{m {v}^(2) }{r} }}`

Substituting value of m, v & r in the equation:

`\sf \implies T = \frac{3 * {20}^(2) }{0.4} \\ \\ \sf \implies T = (3 * 400)/(0.4) \\ \\ \sf \implies T =3 * 1000 \\ \\ \sf \implies T =3000 \: N \\ \\ \sf \implies T =3 \: kN`

`\therefore`

Tension in the string (T) = 3 kN