With the use of formula, The plane should rotate at the speed of 3 m/s
When a body is moving rotationally at a point, the motion is said to be a circular motion. There are two types of motion in a circle
Given that a 3 kg toy plane is attached to a 1.8 m string that it can be whirled around in a horizontal circle above the users head rotates.
The given parameters are:
mass m = 3 kg
Length L = 1.8 m = radius
Force F = 10 N
Velocity V = ?
If one’s exerts a force of 10 N on the string, The speed the plane should have can be calculated by using the below formula
F = M[tex]V^{2}[/tex] / r
Substitute all the parameters into the formula
10 = 3 x [tex]V^{2}[/tex] / 1.8
Cross multiply
18 = 3[tex]V^{2}[/tex]
[tex]V^{2}[/tex] = 18/3
[tex]V^{2}[/tex] = 9
V = [tex]\sqrt{9}[/tex]
V = 3 m/s
Therefore, The plane should rotate at the speed of 3 m/s
Learn more about circular motion here: https://brainly.com/question/23272034
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