The drum of a washing machine spins at 200 rpm the drum had a radius of 0.5m what will the centripetal force experienced by a to

Question

2 years ago

10

wel spinning along the walls of the drum the towel weighs 0.25kg
Round of to nearest whole number

A) 48N
B) 55N
C) 45N
D) 57N

1 answer:

miskamm [114] · Answer 1 · 2022-07-09T10:54:04+03:00

The centripetal force experienced by the towel is 55 N.

The given parameters;

The centripetal force experienced by the towel spinning along the walls of the drum is calculated as follows;

Fc = mrω²

where;

<em>Fc is the centripetal force</em>

<em>ω is angular speed in rad/s</em>

The angular speed in rad/s is calculate as;

$\omega = \frac{200 \ rev}{\min} \times \frac{2\pi \ rad}{1 \ rev} \times \frac{1\min}{60 \ s} \\\\\omega = 20.95 \ rad/s$

The centripetal force experienced by the towel is calculated as;

$F_c = mr\omega ^2\\\\F_c = 0.25 \times 0.5 \times (20.95)^2\\\\F_c = 54.9 \ N \ \approx 55 \ N$

Thus, the centripetal force experienced by the towel is 55 N.