Radius = r = 1 foot
Angular velocity = w = 1 revolutions in 4 seconds
So,
w = 0.25 revolutions per second
Since,
1 revolution = 2π radians
We can write the above equation as:
w = 0.25 x 2π radians per second = 0.5π radians per second
Linear Velocity = v = r w
Using the values, we can write:
v = 1 x 0.5π
= 0.5 π
= π/2 feet per second
Therefore, the correct answer is option B
The constant of proportionality should be 45 miles per hour, and the car should travel 135 miles in three hours.
Step-by-step explanation:
AB · BE = CB · BD Given
CB/BE = AB/BD Division Property of Equality
<ABC = <DBE Vertical angles are equal
ΔABC ≅ ΔDBE SAS Similarity Theorem
Hope it helps