Answer:
17 m/s
Explanation:
Given:
Tension = 600 N
Mass of object, M= 12 kg
Radius, r = 5.78 m
Required:
Find the speed the rod will break
Here, the motor is continuously increased. To find the speed the rod will break (speed of centripetal force), we have:
Tension = Centripetal force
Where centripetal force = [tex] \frac{mv^2}{r} [/tex]
Therefore,
[tex] T = \frac{mv^2}{r} [/tex]
Make v subject of the formula:
[tex] v = \sqrt{\frac{T*r}{m}} [/tex]
[tex] = \sqrt{\frac{600*5.78}{12}} [/tex]
[tex] = \sqrt{\frac{3468}{12} [/tex]
[tex] = \sqrt{289} [/tex]
[tex] = 17 m/s [/tex]
Speed the rod will break is 17 m/s.
