The centripetal force experienced by the towel is 55 N.
The given parameters;
- angular speed of the washing machine, ω = 200 rpm
- radius of the machine' drum, r = 0.5 m
- mass of the towel, m = 0.25 kg
The centripetal force experienced by the towel spinning along the walls of the drum is calculated as follows;
Fc = mrω²
where;
Fc is the centripetal force
ω is angular speed in rad/s
The angular speed in rad/s is calculate as;
[tex]\omega = \frac{200 \ rev}{\min} \times \frac{2\pi \ rad}{1 \ rev} \times \frac{1\min}{60 \ s} \\\\\omega = 20.95 \ rad/s[/tex]
The centripetal force experienced by the towel is calculated as;
[tex]F_c = mr\omega ^2\\\\F_c = 0.25 \times 0.5 \times (20.95)^2\\\\F_c = 54.9 \ N \ \approx 55 \ N[/tex]
Thus, the centripetal force experienced by the towel is 55 N.
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