Answer:
a) Fi = 85.76 N
b) Fi = 87.8 N
Explanation:
Given:-
- Density of hydraulic oil, ρ = 804 kg/m^3
- The radius of input piston, ri = 0.00861 m
- The radius of output piston, ro = 0.141 m
Find:-
What input force F is needed to support the 23000-N combined weight of a car and the output plunger, when
(a) the bottom surfaces of the piston and plunger are at the same level
(b) the bottom surface of the output plunger is 1.10 m above that of the input plunger?
Solution:-
For part a.
- We see that both plungers are equal levels or there is no pressure due to elevation head. So we are only dealing with static pressure exerted by the hydraulic oil on both plungers to be equal. This part is an application of Pascal's Law:
Pi = Po
Fi / Ai = Fo / Ao
Fi = Ai / Ao * Fo
Fi = (ri/ro)^2 * Fo
Fi = ( 0.00861 / 0.141 )^2 * 23000
Fi = 85.76 N
For part b.
- We see that both plungers are at different levels so there is pressure due to elevation head. So we are only dealing with static pressure exerted by the hydraulic oil on both plungers plus the differential in heads. This part is an application of Bernoulli's Equation:
Pi = Po + ρ*g*h
Where, h = Elevation head = 1.10m
Fi = (ri/ro)^2 * Fo + ρ*g*h*π*ri^2
Fi = 85.76 + (804*9.81*1.1*3.142*0.00861^2)
Fi = 87.8 N
Answer:
Move towards the wall.
Explanation:
When the balloon is kept near to the wall not touching the wall, there is a force of electrostatic attraction so that the balloon moves towards the wall and stick to it.
As there is some charge on the balloon and the wall is uncharged so the force is there due to which the balloon moves towards the wall.
Answer:
weave lanes
Explanation:
Road engineers have to be especially creative when they must design an infrastructure that allows several major roads to cross, with the aim of improving traffic flow making optimal use of space.
The partial cloverleaf: With a very popular design usually widely used in places where interstate highways meet state and / or local roads. Usually you include interlaced lines (or weaves lanes) that allow adequate traffic circulation both to enter and exit to the main road.
Answer:
The current through the bulb is 0.5 Ampere.
Explanation:
Given:
Power = P = 60 watt
Voltage = V = 120 volts
To Find:
Current = I =?
Solution:
Power:
It is the product of Voltage and Current
Unit = watts
Formula


Answer:
625 nm
Explanation:
For constructive interference, the expression is:

Where, m = 1, 2, .....
d is the distance between the slits.
The formula can be written as:
....1
The location of the bright fringe is determined by :

Where, L is the distance between the slit and the screen.
For small angle , 
So,
Formula becomes:

Using 1, we get:

For two fringes:
The formula is:

For first and second bright fringe,

Given that:

d = 2.14 mm
L = 1.90 m
Also,
1 mm = 10⁻³ m
So,

d = 2.14×10⁻³ m
Applying in the formula,


Also,
1 m = 10⁹ nm
So wavelength is 625 nm