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A ladybug sits 14 cm from the center of a turntable spinning at 33.33 rpm. The Sun is shining horizontally through the window and the shadow of the ladybug can be seen traveling back and forth across the wall behind the turntable. What is the maximum velocity, in meters per second, of the shadow on the wall?

Respuesta :

princessesther2011

Answer:

The maximum velocity is 0.489 m/s

Explanation:

Maximum velocity (v) = angular velocity (w) × radius (r)

w = 33.33 rpm = 33.33×0.1047 = 3.4897 rad/s

r = 14 cm = 14/100 = 0.14 m

v = 3.4897×0.14 = 0.489 m/s

onyebuchinnaji

The maximum velocity, in meters per second, of the shadow on the wall is 0.49 m/s.

The given parameters;

  • radius of the circle, r = 14 cm = 0.14 m
  • angular speed, ω = 33.33 rpm

The angular speed of the ladybug in rad/s is calculated as follows;

[tex]\omega = 33.33 \ \frac{rev}{\min} \times \frac{2\pi \ rad}{1 \ rev} \times \frac{1\min}{60 \ s} \\\\\omega = 3.5 \ rad/s[/tex]

The maximum velocity, in meters per second, of the shadow on the wall is calculated as follows;

[tex]v = \omega r\\\\v = 3.5 \times 0.14\\\\v = 0.49 \ m/s[/tex]

Learn more about linear speed and angular speed here: https://brainly.com/question/25653453

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