Question

There are two points or on a disk with point 1 having a radius of 15 cm and point 2 has a radius of 30 cm. the disk in spinning at 0.3 radians/sec. what is the linear velocity of the point with a radius of 15 cm?

Answer 1

The linear velocity of a point with a radius of 15 cm on a disk spinning at 0.3 radians/sec is 0.045 m/s, calculated using the formula v = rω.

Step-by-step explanation:

To find the linear velocity of a point on a spinning disk, we can use the relationship that relates linear velocity (v), radius (r), and angular velocity (ω). The formula is v = rω, where (v) is the linear velocity, (r) is the radius of the point from the center of the disk, and (ω) is the angular velocity.

The question asks for the linear velocity of a point with a radius of 15 cm on a disk spinning at 0.3 radians/sec. Using the formula:

v = rω = (15 cm)(0.3 rad/s)

Convert 15 cm to meters by dividing by 100:

v = 0.15 m × 0.3 rad/s = 0.045 m/s

The linear velocity of the point with a radius of 15 cm is 0.045 m/s.