Answer:
The angular velocity is 6.72 π radians per second
Step-by-step explanation:
The formula of the angular velocity is ω = , where v is the linear velocity and r is the radius of the circle
The unit of the angular velocity is radians per second
∵ The diameter of the tire is 25 inches
∵ The linear velocity is 15 miles per hour
- We must change the mile to inch and the hour to seconds
∵ 1 mile = 63360 inches
∵ 1 hour = 3600 second
∴ 15 miles/hour = 15 ×
∴ 15 miles/hour = 264 inches per second
Now let us find the angular velocity
∵ ω =
∵ v = 264 in./sec.
∵ d = 25 in.
- The radius is one-half the diameter
∴ r = × 25 = 12.5 in.
- Substitute the values of v and r in the formula above to find ω
∴ ω =
∴ ω = 21.12 rad./sec.
- Divide it by π to give the answer in terms of π
∴ ω = 6.72 π radians per second
The angular velocity is 6.72 π radians per second
Step-by-step explanation:
Set up the composite result function.
f(g(x))f(g(x))
Evaluate f(g(x))f(g(x)) by substituting in the value of gg into ff.
f(x2)=2(x2)−4f(x2)=2(x2)-4
Multiply 22 by x2x2.
f(x2)=2x2−4f(x2)=2x2-4
Answer:
Below.
Step-by-step explanation:
With replacement the sample space is:
(RR), (GG), (BB), (RG), (RB), (GR), (GB), (BR), (BG).
Without replacement you will not get 2 of the same colour, so it is
(RG), (RB), (GR), (GB), (BR), (BG).
Answer:
where is the graph
Step-by-step explanation:
ATQ
Now
From all equations
Now
Adding 3 and 4
One side won't be covered hence