Hi!
The linear velocity is given by:
v = ωR
And ω is given by: ω = 2π/T (where T is the time for 1 revolution)
Now, put these equations together:
v = 2πR/T
If it takes 5 seconds for 10 revolutions, then it takes 5/10 = 0.5 seconds for each revolution.
V = (2π * 2)/0.5
V = 4π/0.5
V = 8π rad/s
Then, we goes to the centripetal acceleration:
a = V²/R
a = 64π²/2
a = 32π² rad/s²
;)
<h2>Final velocity of man is -0.23 m/s.</h2>
Explanation:
Conservation of linear momentum :
When no external force acts on a system of several interacting particles, the total linear momentum of system is conserved.
Before the Throw ; Man mass (M₁) = 84.1 kg,
Velocity of Man (u₁) = 0 m/s
Book Mass(M₂) = 1.80 kg
Velocity of book (u₂)= 0 m/s
After the throw ; Man mass(M₁) = 84.1 kg
Velocity of Man(V₁) = ?
Book mass(M₂) = 1.80 kg
velocity of book(V₂) = 11.1 m/s
According to conservation of linear Momentum
Initial Momentum = Final Momentum
M₁u₁ +M₂u₂ = M₁v₁ + M₂v₂
84.1 x0 + 1.80 x0 = 84.1 x v₁ + 1.80 x 11.1
0 = 84.1 v₁ + 19.98
v₁ = -19.98 /84.1
= -0.23 m/s
final velocity of man is -0.23 m/s
I think its true, I think.
Answer:
Explanation:
As the pendulum is slightly shifted to the left then we have restoring torque on it given as
so here we have
here we know that
also for small angular displacement
now we have its moment of inertia about suspension point given as
now it is given as
so we have
so angular frequency is given as
C. is correct : ) it is applied when you push and that causes the desk to move