I) Tension in the spring = 2N
ii) Angular speed of the bung=5 rads-¹
iii) The time(T) it takes to make one complete revolution=1.256 seconds
Circular motion
Formula used to calculate the time(T) it takes to make one complete revolution = 2π √(l/g)
l = radius= 40cm = 0.4m
g = acceleration due to gravity = 10m/s-²
π =3.14( constant)
T = 2× 3.14 × √0.4/10
T = 6.28 ×√0.04
T = 6.28 × 0.2
T= 1.256 seconds
Formula to calculate angular speed(w)= 2π/T
where T= 1.256 secs
Therefore w = 2×3.14/1.256
w = 6.28/ 1.256
w = 5 rads-¹
Formula to calculate Tension in the spring(F)
= mrw²
where m= 200 g = 0.2kg
r = radius= 40cm = 0.4m
w = angular speed = 5 rads-¹
Therefore F = 0.2 × 0.4 × 5²
= 0.08 ×25
= 2N
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