The formula for the rotational kinetic energy is
where I is the moment of inertia. This is just mass times the square of the perpendicular distance to the axis of rotation. In other words, the radius of the propeller or this is equivalent to the length of the rod. ω is the angular velocity. We determine I and ω first.
ω = 573 rev/min * (2π rad/rev) * (1 min/60 s) = 60 rad/s
Then,
Answer:
Explanation:
The experimenter is rotating on his stool with angular velocity ω ( suppose )
His moment of inertia is I say
We are applying no torque from outside . therefore , the angular momentum will remain the same
Thus angular momentum L = I ω = constant
Thus we can say I₁ ω₁ = I₂ω₂ = constant
here I₁ is the initial moment of inertia and ω₁ is the initial angular velocity
Similarly I₂ is the final moment of inertia and ω₂ is the final angular velocity
When a been bag is dropped on his lap , his moment of inertia increases due to increase in mass
In the above equation, when moment of inertia increases , the angular velocity decreases . So its motion of rotation will decrease .
Given data:
Wave length (λ) = 2.30 m,
Frequency (f) = 370 Hz (waves/sec),
Determine the speed of the wave = ?
Speed of the wave is defined as "the distance a wave travels in a given time". And it is a product of <em>wavelength (λ) </em>and <em>frequency(f). </em>
An Important point to be remember here is <em>"when increasing the wave length of the wave does not increase the speed of the wave"</em> because the wave speed also depends on frequency (f), So, if the wave length increases wave speed decreases. As a result the product of wave length and frequency are same.
Mathematically,
Wave speed = wave length × frequency
= 2.30 m × 370 waves/sec.
= 851 m/s.
<em>Speed of the wave is 851 m/s</em>
Answer:
a) cost = $ 0.29
, b) cost = $ 0.046
, c) cost = $ 2.80
Explanation:
a) Let's find the energy consumed by this bulb, which is the product of the power and time
energy = P t
energy = 100 24 = 2400 W h
as the cost of energy is given in kWh we reduce this value
Energy = 2400 Wh (1 kW / 1000W)
Energy = 2.40 kWh
Calculate the cost of energy
cost = 0.12 2.40
cost = $ 0.288
cost = $ 0.29
b) energy = 16.0 24 = 384 Wh
we reduce to kWh
energy = 0.384 kWh
cost = 0.12 0.384
cost = $ 0.0461
cost = $ 0.046
c) let's find the power consumed by the oven
P = I V
P = 20.0 220
P = 4400 W
we look for the energy consumed
energy = 4400 5.30
energy = 23320 Wh
we reduce to kWh
energy = 23.32 kWh
we calculate the cost of this energy
cost = 0.12 23.32
cost = $ 2,798
cost = $ 2.80
