contestada

A record is spinning at the rate of 37 rpm. If a ladybug is sitting 8 cm from the center of the record, find and exact answer for each of the following.
a) What is the angular velocity of the ladybug? (in radians/sec)
b) What is the speed of the ladybug? (in cm/sec) c) After 17 seconds, how far has the ladybug traveled? (in cm)​

Respuesta :

The angular velocity of the ladybug is the same as the angular velocity of

the record.

Correct responses (approximate values):

a)  3.875 rad/s

b) 31 cm/s

c) 527 cm

Methods used for the calculations

The rate at which the record is spinning = 37 rpm

Location of the ladybug on the record = 8 cm from the center

a) The angular velocity of the ladybug is given as follows;

1 revolution = 2·π radians

1 minute = 60 seconds

Therefore;

[tex]Angular \ velocity, \ \omega = \dfrac{37 \times 2 \cdot \pi}{60 \, s} \approx \mathbf{ 3.875}[/tex]

  • The angular velocity of the ladybug, ω ≈ 3.875 rad/sec

b) Linear speed, v = Radius, r × Angular speed, ω

The radius with the ladybug rotates, r = 8 cm

Angular velocity of the ladybug = ω ≈ 3.875 rad/s

Therefore;

  • The speed of the ladybug, v = 8 cm × 3.875 rad/s ≈ 31 cm/s

c) Distance, d = Speed, v × Time, t

After 17 seconds, we have;

  • The distance travelled by the ladybug, d = 31 cm/s × 17 s = 527 cm

Learn more about angular velocity here:

https://brainly.com/question/14370151

Otras preguntas