The formula that links voltage (V), resistance (R) and current intensity (I) is
Solve this formula for I to get
Plug your values for V and R and you'll get the current.
Answer:
2.23 Hz
Explanation:
From the attached diagram below; there exists a diagrammatic representation of the equilibrium position of the cylinder.
The equilibrium position of the spring is expressed as:
mg = K
where;
m = mass of the object
g = acceleration due to gravity
K = spring constant
= static deflection of the string
Given that:
m = 30 kg
g = 9.81 m/s²
= 50 mm = 50 ×
= 0.05 m
Then;
From here; let us find the angular velocity which will be needed to determine the natural frequency aftewards.
The angular velocity of the cylinder can be expressed by the formula:
Finally; the natural frequency can be calculated by using the equation
= 2.229305729
≅ 2.23 Hz
Thus; the resulting natural frequency of the vertical vibration of the cylinder = 2.23 Hz
Answer:
T = 144°C
Explanation:
From the law conservation of energy,
Heat loss = Heat gain
mc(T-50) = 2mc(50-3)
T-50 = 2(47)
T-50 = 94
T = 94+50
T = 144°C
Plz check it out
Centripetal acceleration can be calculated through the equation:
Ac=V^2/r
V is given as 25 m/s, and r can be calculated through using C=pi•d, but we need the circumference first.
25 meters/s to make one quarter turn = 100 meters total circumference
C=pi•d
100=pi•d
d=31.83 meters
Notice that the equation for Ac asks for radius, which can be calculated by dividing the diameter by two (31.83/2 = 15.92).
Ac=V^2/r
Ac=(25^2)/15.92
Ac=39.26 Newtons
The centripetal acceleration of this object would be approximately 39.26 Newtons (re-run this calculation set with a calculator because rounding was heavily utilized).