Answer:
Angular velocity: 
(
)
Linear velocity: 
(
)
Step-by-step explanation:
The gear experiments a pure rotation with axis passing through its center, the angular (
), in radians per second, and linear velocities (
), in inches per second, of a point on the outer edge of the element are, respectively:
(1)
(2)
Where:
- Rotation rate, in revolutions per minute.
- Radius of the gear, in inches.
If we know that 
and 
, then the linear and angular velocities of the gear are, respectively:
()
()
Answer:
The number is 32.
Step-by-step explanation:
x - 14 = 18
x = 32
Answer:
4/6 or 2/3. Depends if your teacher wants it reduced.
Step-by-step explanation:
Each number has a 1 out of 6 chance to be rolled. so it's 1/6 for rolling a 3, 1/6 for rolling a 4, 1/6 for rolling a 5, and 1/6 for rolling a 6. 4 x 1/6 = 4/6
Answer:
12
Step-by-step explanation:
We can use the pythagorean theorem giving us:
a^2+b^2=c^2
(6sqr2)^2 + (6sqr2)^2 = c^2
72+72=c^2
144=c^2
12=c
