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
Answer:
easy peasy (again)
Step-by-step explanation:
given is that, area of the larger one is 25 times more than the smaller one
so, just put it in the area formula,
let the radius of the larger circle be represented by = R
and of the smaller circle be = r
then, (pi) (R)^2 =25 x (pi) (r)^2
=> dividing the equation by pi on both sides, also taking square root on both sides
=> R = 25 r
that would be the radius of the larger circle is 25 times bigger than the smaller radius
(all u need is to pay attention to the data given in the question and the relation between all that data itself) then it'll look like magic of how the question gets solved...the answer is always in front of you, only thing is to look harder ...good luck with what you are aiming to achieve
Answer:
the second value is ten times higher then the refference one
Answer:
$3.23
Step-by-step explanation:
1.71 ÷ 18 = 0.095 = 9.5%
9.5% × 34 = 3.23
