Answer:
The total distance, side to side, that the top of the building moves during such an oscillation = 31 cm
Explanation:
Let the total side to side motion be 2A. Where A is maximum acceleration.
Now, we know know that equation for maximum acceleration is;
A = α(max) / [(2πf)^(2)]
So 2A = 2[α(max) / [(2πf)^(2)] ]
α(max) = (0.025 x 9.81) while frequency(f) from the question is 0.2Hz.
Therefore 2A = 2 [(0.025 x 9.81) / [((2π(0.2)) ^(2)] ] = 2( 0.245 / 1.58) = 0.31m or 31cm
Mercury Is more suitable than water cause it is denser than water.
Relation between density and pressure
Pressure = force/area
Replace force by mass * acceleration
Pressure = mass * acceleration/ area
We can replace mass by density * volume since density = mass/ volume
Pressure = density * volume * acceleration/ area
Volume is length^3 whereas area is length ^2. So volume / area = length
Pressure = density * length * acceleration
Gravity is form of acceleration so
Pressure = density * length * gravity
Length can be height or depth
Finally pressure = density * height * gravity
P = ρ g h => pressure of liquid
The tension has to hold the part of the weight in the direction of the string:
T = mg*cos(theta)
Theta=0, whole weight, theta=90, T=0, if the pendulum is horizontal, the string will be loose! Yeah
Ethanol and biodoesel are also <u>cleaner-burning</u> fuels than pure gasoline and diesel fuel.
I hope I helped! :)
