Question

What is the linear velocity of a 16g washer with a period of 0.46s and a radius of 15cm?

A. 0.36 m/s
B. 0.72 m/s
C. 1.08 m/s
D. 1.44 m/s

Answer 1

The linear velocity of the 16g washer with a period of 0.46s and a radius of 15cm is approximately 1.08 m/s

Step-by-step explanation:

The linear velocity of the washer can be found using the formula:

v = r x ω

Where:

• v is the linear velocity (in m/s)
• r is the radius of the washer (in meters)
• ω is the angular velocity (in rad/s)

Given that the washer has a radius of 0.15m and a period of 0.46s, we can find the angular velocity using the formula:

ω = 2π/T

Where:

• T is the period (in seconds)

Plugging in the values:

ω = 2π/0.46 rad/s

Substituting the values into the first formula:

v = 0.15 x 2π/0.46 m/s

Simplifying the equation gives:

v ≈ 1.08 m/s