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
No it will not bc the area of the door is 1,800 inches and the dog beds area is 4,225 inches and also the dog bed too tall
The number (7×100)+(4×1/100)+(8×1/1,000) in standard form is 7.0048 × 10²
<h3>How to write number in standard form?</h3>
The number can be represented in standard form as follows:
(7 × 100) + (4 × 1/100)+(8 × 1/1,000)
Therefore,
7 × 100 = 700 = 7 × 10²
4 × 1/100 = 4 × 10⁻²
8 × 1/1,000 = 8 × 10⁻³
Therefore,
7 × 10² + 4 × 10⁻² + 8 × 10⁻³ = 700.048 = 7.0048 × 10²
learn more on standard form here: brainly.com/question/22649174
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Answer:
2
Step-by-step explanation: