A bug completes one lap along the edge of a
circular planter of radius 22.4 cm in 16.45 s.
How fast was it traveling?
Answer in units of cm/s.
speed = (circumference)/(time)
= 2*pi*22.4/16.45 = ?
8.555826801
To find the speed at which the bug was traveling, we need to calculate the distance it covered in 16.45 seconds.
The distance covered by the bug in one lap is equal to the circumference of the circular planter. The formula for the circumference of a circle is C = 2πr, where C represents the circumference and r represents the radius of the circle.
So, in this case, the distance covered in one lap is C = 2π(22.4 cm) = 44.8π cm.
Since the bug completes one lap in 16.45 seconds, its speed can be calculated by dividing the distance traveled by the time taken.
Speed = Distance/Time
Speed = (44.8π cm) / (16.45 s)
To find the speed in cm/s, we need to simplify the expression.
Speed ≈ 8.54π cm/s
Approximating π to 3.14, we get:
Speed ≈ 26.8 cm/s
So, the bug was traveling at a speed of approximately 26.8 cm/s.