Question

a merry go round of 10m radius with children sitting on it, is revolving at the speed of 1rpm. calculate the speed of the children and their angular velocity

please solve this question with full formula and also mention the answer I will mark as brainlist ​

Answer 1

radius (r)=10m

rpm=1

perimeter of circle=2*(22/7)*10

=440/7 m

distance(d) =440/7 m

time taken(t) =1 min=60sec

speed(v) = d/t

=(440/7)*60

=1.04 m/s

Again; angular velocity (w)=v/r

w=1.04/10

=10.4 radians/sec

My answer might be wrong so please match with another.

Answer 2

Answer:

Explanation:

Given :-

Angle = 2π radian (in 1 min)

Radius = 10 m

Time taken = 1 min = 60 seconds

To Calculate :-

v = ?

Formula to be used :-

v = rω

Solution :-

But we do not know the value of ω. Therefore, first of all we will find out the value of ω by using the formula,

ω = ∅/t

⇒ ω = 2π/20

⇒ ω = π/30 radian/sec

Now, v = rω

⇒ v = 10 × π/30

⇒ v = π/3

⇒ v = 1.04 m/s

Hence, the speed of the children and their angular velocity  is  1.04 m/s.