Answer:
(i) -556 rad/s²
(ii) 17900 revolutions
(iii) 11250 meters
(iv) -55.6 m/s²
(v) 18 seconds
Explanation:
(i) Angular acceleration is change in angular velocity over time.
α = (ω − ω₀) / t
α = (10000 − 15000) / 9
α ≈ -556 rad/s²
(ii) Constant acceleration equation:
θ = θ₀ + ω₀ t + ½ αt²
θ = 0 + (15000) (9) + ½ (-556) (9)²
θ = 112500 radians
θ ≈ 17900 revolutions
(iii) Linear displacement equals radius times angular displacement:
s = rθ
s = (0.100 m) (112500 radians)
s = 11250 meters
(iv) Linear acceleration equals radius times angular acceleration:
a = rα
a = (0.100 m) (-556 rad/s²)
a = -55.6 m/s²
(v) Angular acceleration is change in angular velocity over time.
α = (ω − ω₀) / t
-556 = (0 − 15000) / t
t = 27
t − 9 = 18 seconds
Answer: F= 10⁻¹¹ N
Explanation:
We are given that a molecular motor moves in steps of 100 Å.
The energy change for ATP hydrolysis is –60 kJ•mol⁻¹
Now we have to find the maximum resistive force against which motor can move cargo.
So the force will be equal to the energy value divided by the distance in meters.
F= 
= −6000000000
Ignoring the minus sign.
And for one molecule of ATP per step, the value is divided by Avogadro's number.
F= 
F= 10⁻¹¹ N
