Answer:
Radius r=0.30m, Velocity, v=36m/s
(a) angular speed w=
r
v
=
0.3
36
=120rad/s
(b) final angular speed w
′
=0
From rotational kinematics w
′
2
−w
2
=2αθ
0−14400=2α×40×2π
⇒α=
160π
−14400
=−28.6rad/s
2
'Distance covered
=40×2πr
=40×2π×0.3=75.39m
You can use sin cos or tan to solve this
In the given figure, the angles 5 and 6 form Vertical opposite angle pair.
so, correct choice is Vertical
Is the goal to simplify? You just need to multiply the exponents for each factor:
(2z^2)^(-3)
= 2^(-3) x z^(2 x -3)
= (1/2)^3 x z^(-6)
= (1/8) x (1/z)^6
= 1/(8z^6)