Answer:
(a) 1.2 rad/s
(b) 1.8 rad
Explanation:
Applying,
(a) α = (ω-ω')/t................ Equation 1
Where α = angular acceleration, ω = final angular velocity, ω' = initial angular velocity, t = time.
From the question,
Given: α = 0.40 rad/s², t = 3 seconds, ω' = 0 rad/s (from rest)
Substitute these values into equation 1
0.40 = (ω-0)/3
ω = 0.4×3
ω = 1.2 rad/s
(b) Using,
∅ = ω't+αt²/2.................. Equation 2
Where ∅ = angle turned.
Substitutting the values above into equation 2
∅ = (0×3)+(0.4×3²)/2
∅ = 1.8 rad.
Answer:
Explanation:
We will need to use the ideal gas equation. The equation is given by:
- P is the pressure
- V is the volume
- n is the amount of molecules
- R is the ideal gas constant
As we have the same amount of molecules in the initial and final steps, therefore we can do this:
(1)
- P(1) is the atmospheric pressure (P(1) = 1 atm) and P(2) is 0.028 atm
- T(1) is 300 K and T(2) is 190 K
- V(1) is the volume of the balloon in the first step, we can consider a spherical geometry so:
(2)
(3)
- D(2) = 32 m
So
Let's solve the equation (1) for V(1)
And using the equation (2) we can find D.
I hope it helps you!
Answer: The distance covered by a certain object which is travelling at a certain speed is calculated through the equation,
d = (V₀)t + 0.5at²
where d is the distance, V₀ is the initial speed, a is deceleration, and t is the time. Substituting the known values,
85 = (V₀)(t) + (0.5)(-0.43 m/s)(t²)
Because we are not given with the initial velocity, our answer would remain as the equation which is written above.
Explanation: Hope this helps