Question

Information about two gears is shown in the table.

Which statements compare the angular and linear velocities of the gears? Check all that apply.

Gear 1 has a greater angular velocity than Gear 2.
Gear 1 has a lesser angular velocity than Gear 2.
Gear 1 has a greater linear velocity than Gear 2.
Gear 1 has a lesser linear velocity than Gear 2.

Answer 1

Answer: B and D

Explanation:

Edge 2020

Answer 2

B and C

Explanation:

Angular velocity

Gear 1:

w = theta/t

w =
`(60 rev)/(min) * (1 min)/(60 sec) * (2\pi )/(rev)` = 2
`\pi`

Gear 2:

w =
`(80 rev)/(min) * (1 min)/(60 sec) * 2\pi` = 2.66
`\pi`

Linear Velocity

v = w r

Gear 1:

2 pi * 6 = 12
`\pi`

Gear 2:

2.66 pi * 4 = 10.64
`\pi`