Having the angle in radians and the diameter of the circle we can easily calculate the length using the following expression
Length = angle(radians)*diameter/2
With this expression we can easily deduce the perimeter of a circle (length of the full arc)
Length = Perimeter = 2*pi*r
There is only one operation involved in this process
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Given:
radius of the pendulum = 6 feet
arc length = 14.13 feet
time = 3 seconds
Required:
What is the angular velocity?
Solution:
To compute for the angular velocity, we can use the formula:
w = s/rt
where,
w is the angular velocity
s is the length of the arc
r is the radius of a circle or pendulum
t is the time
substituting the values,
w = 14.13 feet / 6 feet × 3 seconds
w = 0.785 per seconds
Answer:
Step-by-step explanation:
