Answer:
19.74 N
Explanation:
mass of ball (m) = 0.25 kg
radius (r) = 0.5 m
time (t) = 2 revolutions per seconds = 1/2 = 0.5 second per revolution
find the tension in the string
tension (T) = [tex]\frac{mv^{2} }{r}[/tex]
- where velocity (v) = [tex]\frac{2πr}{t}[/tex]
tension now becomes (T) = [tex]\frac{m}{r} x (\frac{2πr}{t})^{2}[/tex]
tension (T) = [tex]\frac{4π^{2}rm }{t^{2} }[/tex]
- now substituting the values of mass (m), time (t) and radius (r) into the equation above we have
tension (T) = [tex]\frac{4π^{2}x0.5x0.25}{0.5^{2} }[/tex]
tension (T) = [tex]2π^{2}[/tex] = [tex]2x3.142^{2}[/tex] = 19.74 N
