(a) Both the girl and the boy have the same nonzero angular displacement.
Explanation:
The angular displacement of an object moving in uniform circular motion, as the boy and the girl on the merry-go-round, is given by
where
is the angular speed
t is the time interval
For a uniform object in uniform circular motion, all the points of the object have same angular speed. This means that the value of is the same for the boy and the girl.
Therefore, if we consider the same time interval t, the boy and the girl will also have same nonzero angular displacement.
(b) The girl has greater linear speed.
Explanation:
The linear (tangential) speed of a point along the merry-go-round is given by
where
is the angular speed
r is the distance of the point from the centre of the merry-go-round
In this problem, the girl is near the outer edge, while the boy is closer to the centre: since the value of is the same for both, this means that the value of r is larger for the girl, so the girl will also have a greater linear speed.
Answer:
vr = 4.336 m/s
Explanation:
We are given that;
Beat frequency is 6Hz
Speed of sound = 344 m/s
Now,
Reflective Doppler frequency; f = 235 + 6 = 241 Hz
We can calculate the observed frequency if both the source sound and the observer are moving towards each other. In this case, the formula is:
f = fo[(c + vr)/(c + vs)]
Where;
ƒ = observed frequency
c = speed of sound
vs = velocity of source (negative if it’s moving toward the observer)
ƒ0 = emitted frequency of source
Since it’s moving toward the observer, thus we can rewrite equation as;
f = fo[(c + vr)/(c - vs)]
We have that;
fo = 235 , f = 241 , c = 344 , vr=vs
Thus,
241 = 235[(344+vr)/(344-vr)]
241(344 - vr)= 235(344 + vr)
82904 - 241vr = 80840 + 235vr
82904 - 80840 = 241vr + 235vr
2064 = 476 vr
vr = 2064/476
vr = 4.336 m/s
The answer is that the sound originates from a vibration. One thing that stringed, wind, and percussion instruments have in common in regard to the sounds they produce is that the sound originates from a vibration.
The answer is B!
Explanation: Energy stored in an object due to its position is Potential Energy. · Energy that a moving object has due to its motion is Kinetic Energy.
