Answer:
α = -π/3 rad/s²
θ = 1.5π rad ≈ 4.71 rad
θ = 0.75 rev
Explanation:
30 rev/min (2π rad/rev) / (60 s/min) = π rad/s
α = (ωf - ωi) / t = (0 - π) / 3 = -π/3 rad/s²
θ = ½αt² = ½(π/3)3² = 1.5π rad ≈ 4.71 rad
θ = 1.5π rad / 2π rad/rev = 0.75 rev
Answer:
b) 6
Explanation:
Given
v(t)=3t²+6t
X(0) = 2
X(1) = ?
Knowing that
v(t)=3t²+6t = dX/dt
⇒ ∫dX = ∫(3t²+6t)dt
⇒ X - X₀ = t³ + 3t²
⇒ X(t) = X₀ + t³ + 3t²
If X(0) = 2
⇒ X(0) = X₀ + (0)³ + 3(0)² = 2
⇒ X₀ = 2
then we have
X(t) = t³ + 3t² + 2
when
t = 1
X(1) = (1)³ + 3(1)² + 2
X(1) = 6
If a body is moving from left to right or right to left it is linear motion in x- direction. It is also called one dimensional motion.
If a body is moving up to down or down to up it is linear motion in y- direction. It is also called one dimensional motion.
But if a body is moving forward as well as downward it travels in X direction and in y direction at the same time. Such a motion is called two dimensional motion.
E.g motion of a ball.
Attachment shows path of two dimensional motion of a ball.
Answer:
(D) 3
Explanation:
The angular momentum is given by:

Thus, the magnitude of the angular momenta of both solar systems are given by:

where we have taken that both systems has the same radius.
By taking into account that T1=3T2, we have

but L1=L2=L:

Hence, the answer is (D) 3
HOPE THIS HELPS!!
That depends on how much of it you have, but it's a hugely enormous gigantic number in even the smallest sample.
You can see from the formula that there are 12 atoms in every molecule of the stuff !