F=1/T
therefore T=1/F
so thats T=1/20x10^6
T=5x10^-8seconds
the universe it's not expanding into anything it is expanding but not expending to become something
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:
The angle above horizontal is 13.3°.
Explanation:
The angle can be calculated with Newton's third law:
Where:
ΣF: is the forces acting on the object
m: is the mass of the object = 6.00 kg
a: is the acceleration of the object
The only force acting on the object is the weight since there is no friction, so:
(1)
Where:
θ: is the angle
g: is the acceleration due to gravity = 9.81 m/s²
We can find the acceleration from the following kinematic equation:
Where:
: is the final speed = 3.00 m/s
: is the initial speed = 0 (the block starts from rest)
d: is the distance traveled = 2.00 m
The acceleration is:
Finally, the angle is (equation 1):
Therefore, the angle above horizontal is 13.3°.
I hope it helps you!
34 degrees Fahrenheit is equal to 1.11 Celsius. There is a simple formula for calculating it or you can use a converter and see the results