Question

A flea sits on the edge of a classic record album that is making 1 revolution in 0.56s. The flea is 0.20m from the center of the record

a. what is the fleas velocity?
b. What is the fleas centripetal acceleration?

Answer 1

The flea's velocity is approximately 2.23 m/s and its centripetal acceleration is approximately 24.88 m/s^2.

Step-by-step explanation:

To find the flea's velocity, we can use the formula:

velocity = 2πr / T

where r is the distance of the flea from the center of the record and T is the time it takes for the record to make one revolution. Plugging in the values, we get:

velocity = (2π * 0.20m) / 0.56s

Simplifying the equation, we find that the flea's velocity is approximately 2.23 m/s.

To find the flea's centripetal acceleration, we can use the formula:

acceleration = (velocity^2) / r

Plugging in the values, we get:

acceleration = (2.23 m/s)^2 / 0.20m

Simplifying the equation, we find that the flea's centripetal acceleration is approximately 24.88 m/s^2.

Answer 2

Hi there!

We can begin by finding the angular velocity using dimensional analysis:

`(1 rev)/(0.56 s) * (2\pi rad)/(1 rev) = 11.22 rad/sec`

(A)

Find the flea's velocity using the following relationship:

v = ωr

v = (11.22)(0.20) = 2.24 m/s

(B)

Centripetal acceleration is given by:

a = ω²r

a = (11.22²)(0.20) = 25.18 m/s²