To solve this problem, we need to use the formulas for centripetal acceleration and centripetal force.

Step 1: Convert the time to seconds
3.6 minutes = 3.6 * 60 = 216 seconds

Step 2: Calculate the speed of the plane
The plane makes a complete circle, so the distance it travels is the circumference of the circle, which is 2πr.
So, speed = distance/time = 2π(1243 m)/216 s = 36.14 m/s

Step 3: Calculate the centripetal acceleration
The formula for centripetal acceleration is a = v^2/r, where v is the speed and r is the radius.
So, a = (36.14 m/s)^2 / 1243 m = 1.05 m/s^2

Step 4: Calculate the centripetal force
The formula for centripetal force is F = ma, where m is the mass and a is the acceleration.
So, F = 5670 kg * 1.05 m/s^2 = 5953.5 N

So, the centripetal acceleration of the plane is 1.05 m/s^2 and the centripetal force is 5953.5 N.

Question

To solve this problem, we need to use the formulas for centripetal acceleration and centripetal force.

Step 1: Convert the time to seconds
3.6 minutes = 3.6 * 60 = 216 seconds

Step 2: Calculate the speed of the plane
The plane makes a complete circle, so the distance it travels is the circumference of the circle, which is 2πr. 
So, speed = distance/time = 2π(1243 m)/216 s = 36.14 m/s

Step 3: Calculate the centripetal acceleration
The formula for centripetal acceleration is a = v^2/r, where v is the speed and r is the radius.
So, a = (36.14 m/s)^2 / 1243 m = 1.05 m/s^2

Step 4: Calculate the centripetal force
The formula for centripetal force is F = ma, where m is the mass and a is the acceleration.
So, F = 5670 kg * 1.05 m/s^2 = 5953.5 N

So, the centripetal acceleration of the plane is 1.05 m/s^2 and the centripetal force is 5953.5 N.

Knowee AI · Accepted Answer

To solve this problem, we need to use the formulas for centripetal acceleration and centripetal force.

Step 1: Convert the time to seconds
3.6 minutes = 3.6 * 60 = 216 seconds

Step 2: Calculate the speed of the plane
The plane makes a complete circle, so the distance it travels is the circumference of the circle, which is 2πr. 
So, speed = distance/time = 2π(1243 m)/216 s = 36.14 m/s

Step 3: Calculate the centripetal acceleration
The formula for centripetal acceleration is a = v^2/r, where v is the speed and r is the radius.
So, a = (36.14 m/s)^2 / 1243 m = 1.05 m/s^2

Step 4: Calculate the centripetal force
The formula for centripetal force is F = ma, where m is the mass and a is the acceleration.
So, F = 5670 kg * 1.05 m/s^2 = 5953.5 N

So, the centripetal acceleration of the plane is 1.05 m/s^2 and the centripetal force is 5953.5 N.

2. A small plane with a mass of 5,670 kg makes a complete circle with a radius of 1243 m in 3.6 min. What is the centripetal acceleration of the plane? What is the centripetal force going around?

Question

Solution

Similar Questions

Upgrade your grade with Knowee