The formula relating acceleration and angular velocity is:
a = ω^2 r
where a is acceleration, ω is angular velocity and r is
radius
But the angular velocity ω is constant all throughout the
disk therefore:
a1 / r1 = a2 / r2
So at points:
<span>r1 = 0.0130 m ->
a1 = 393 m/s^2</span>
<span>r2 = 0.0884 m ->
a2 = ?</span>
393 / 0.0130 = a2 / 0.0884
<span>a2 = 2,672.4 m/s^2</span>
Answer:
The frequency heard by the motorist is 4313.2 Hz.
Explanation:
let f1 be the frequency emited by the police car and f2 be the frequency heard by the motorist, let v1 be the speed of the police car and v2 be the speed of the motorist and v = 343 m/s be the speed of sound.
because the police car is moving towards the motorist at a higher speed, then the motorist will hear a increasing frequency and according to Dopper effect, that frequency is given by:
f1 = [(v + v2/(v - v1))]×(f2)
= [( 343 + 30)/(343 - 36)]×(3550)
= 4313.2 Hz
Therefore, the frequency heard by the motorist is 4313.2 Hz.
Answer:
If the Kelvin temperature of a gas is increased, the volume of the gas increases. This can be understood by imagining the particles of gas in the container moving with a greater energy when the temperature is increased.
Explanation:
If you heat a gas you give the molecules more energy so they move faster. This means more impacts on the walls of the container and an increase in the pressure. Conversely if you cool the molecules down they will slow and the pressure will be decreased.
To calculate a change in pressure or temperature using Gay Lussac's Law.
Answer:
<h2>6000 kg.m/s</h2>
Explanation:
The momentum of an object can be found by using the formula
momentum = mass × velocity
From the question we have
momentum = 2000 × 3
We have the final answer as
<h3>6000 kg.m/s</h3>
Hope this helps you
Answer:
Explanation:
F=kx
x=F/k
F=2000 kg
x=100 cm=9*10^-3
effective spring constant=k=F/x
k=2000/9*10^-3=2.2*10^-5
now frequency
f=1/2π√k/m
f=1/2*3.14√2.2*10^-5/310
f=1/6.28√7.097*10^-8
f=1/6.28*2.7*10^-4
f=0.16*2.7*10^-4
f=4.32*10^-5
