Answer:
a) Tangential speed = 3.57 m/s
b) Centripetal acceleration = 17.79 m/s²
c) Maximum tangential speed the ball can have = 5.41 m/s
Explanation:
a) Tangential speed, v = rω
Radius, r = 0.86 m
Angular speed, ω = 0.660 rev/s = 0.66 x 2 x π = 4.15 rad/s
Tangential speed, v = rω = 0.86 x 4.15 = 3.57 m/s
b) Centripetal acceleration,
[tex]a=\frac{v^2}{r}=\frac{3.57^2}{0.86}=14.79m/s^2[/tex]
c) Maximum tension in horizontal circular motion
[tex]T=\frac{mv^2}{r}\\\\136=\frac{4\times v^2}{0.86}\\\\v=5.41m/s[/tex]
Maximum tangential speed the ball can have = 5.41 m/s
