The radius of the circle of swing is 10 meters
For a 30 degree angle, the ball then hangs down 10cos(30) = 8.66 meters
So the ball must swing 10 - 8.66 meters = 1.34 meters or "fall" 1.34m meters
So, the speed of the ball at the vertical position will be sqrt(2*g*h) where g = 9.81 m/sec & h = falling distance
So, velocity = sqrt(2*9.81*1.34) = 5.127 m/sec
the speed is not a function of the mass assuming no friction in the cable etc.
Mark J.
tutor
I included the formula in the problem. When something "falls" due to gravity only, the formula is sqrt(2*g*h) where g is the gravity constant (9.81 m/sec) and h is the distance of the "fall". Even though the ball is following a circular path, it still "falls" from point a to point b. Is that clear?
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06/09/20
Hanwei Z.
Then the mass of 315kg doesn't do anything?
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06/09/20
Mark J.
tutor
The mass has no effect on how fast it falls unless you consider air resistance or friction. Just under the influence of gravity, the mass plays no roll here. If this were a momentum problem, the mass would be important... you know this as the heavier the ball, the more of a building would be damaged with each swing!
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06/09/20
Hanwei Z.
The cable on the crane is 10.0m. Would you also tell me what formulas to use?06/09/20