Answer : The force needed is 108 N.
Explanation :
Force : It is defined as the product of mass of an object and acceleration of an object.
Formula used :
Given:
Acceleration =
Mass = 90 kg
Now put all the given values in this formula, we get:
The unit of force is, N or
Therefore, the force needed is 108 N.
Answer:
Given:
Temperature, T = 3.13 K
molar mass of molecular hydrogen, m = 2.02 g/mol =
Solution:
To calculate the root mean squarer or rms speed of hydrogen molecule, we use the given formula:
where
R = rydberg's constant = 8.314 J/mol-K
Putting the values in the above formula:
Answer: the constant angular velocity of the arms is 86.1883 rad/sec
Explanation:
First we calculate the linear velocity of the single sprinkler;
Area of the nozzle = π/4 × d²
given that d = 8mm = 8 × 10⁻³
Area of the nozzle = π/4 × (8 × 10⁻³)²
A = 5.024 × 10⁻⁵ m²
Now total discharge is dived into 4 jets so discharge for single jet will be;
Q_single = Q / n = 0.006 / 4 = 1.5 × 10⁻³ m³/sec
So using continuity equation ;
Q_single = A × V_single
V_single = Q_single/A
we substitute
V_single = (1.5 × 10⁻³) / (5.024 × 10⁻⁵)
V_single = 29.8566 m/s
Now resolving the forces as shown in the second image,
Vt = Vcos30°
Vt = 29.8566 × cos30°
Vt = 25.8565 m/s
Finally we calculate the angular velocity;
Vt = rω
ω_single = Vt / r
from the given diagram, radius is 300mm = 0.3m
so we substitute
ω_single = 25.8565 / 0.3
ω_single = 86.1883 rad/sec
Therefore the constant angular velocity of the arms is 86.1883 rad/sec
