Question

Noah Formula is in an airplane which is flying at a constant speed in a circular course of radius 5000 m., circling O’Hare Airport prior to landing. Noah observes that the plane completes each round trip in 400 seconds. What is the speed of the airplane? What is centripetal acceleration? Need it immediately please help.

A) Speed: 78.54 m/s, Centripetal acceleration: 0.1963m/s²
B) Speed: 31.42 m/s, Centripetal acceleration: 0.7854m/s²
C) Speed: 39.27 m/s, Centripetal acceleration: 0.3927m/s²
D) Speed: 12.57 m/s, Centripetal acceleration: 1.963m/s²

Answer 1

The speed of the airplane is 78.54 m/s and the centripetal acceleration is 0.1963 m/s².

Step-by-step explanation:

To find the speed of the airplane, we can use the formula:
Speed = 2πr / T
where r is the radius of the circular path and T is the time taken to complete one round trip.
Plugging in the values, we get:
Speed = (2π * 5000) / 400 = 78.54 m/s

To find the centripetal acceleration, we can use the formula:
Centripetal acceleration = v^2 / r
where v is the speed of the airplane and r is the radius of the circular path.
Plugging in the values, we get:
Centripetal acceleration = (78.54)^2 / 5000 = 0.1963 m/s²