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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 towel 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

Respuesta :

onyebuchinnaji

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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