The period of a ball moving in a circle is doubled while the radius stays the same. What happens to the velocity of the ball?

Answers

Answer 1
Answer:

Answer:

The velocity of the ball becomes half when the time period is doubled.

Explanation:

Let T be the time period of the ball, R be radius and v be the velocity of the ball performing circular motion.

Now, for a circular motion, the velocity is given as:

v=(2\pi R)/(T)

From the above relation, we can conclude that, velocity is inversely proportional to time period if the radius is constant.

This means that if time period is increased, velocity will decrease and vice-versa.

So, if time period is doubled, the velocity will reduce by half. This can be verified mathematically also given below.

v_o=(2\pi R)/(T)\nv_n=(2\pi R)/(2T)

Divide v_n by v_o, we get

(v_n)/(v_o)=((2\pi R)/(2T) )/((2\pi R)/(T) )\n(v_n)/(v_o)=(T)/(2T)\n (v_n)/(v_o)=(1)/(2)\n\therefore v_n=(1)/(2)v_o

Here, v_n\ and\ v_o are the new and old velocities.

So, it can be concluded that if the time period is doubled, velocity is reduced by half.


Related Questions

If an object has a mass of 50 kg and is accelerating at 2m/s/s, what is the force it will exert?
What is the relationship between mutation, natural selection, and adaption
Which of these is studied using science? a. thirteen is an unlucky numberb. finding a four leaf clover is luckyc. breaking a mirror brings bad weatherd. sudden fall in air pressure affects weather
Velocity-time graph worksheet?
Displacement vectors of 4 km south, 2 km north, 5 km south, and 5 km north combine to atotal displacement of16 km north.11 km west.6km south.2 km south

Why are frying pans usually made out of metal?

Answers

We need heat to cook food. So, frying pans need to be a good conductor of heat. Since, metals are good (best) conductor of heat, frying pans are made out of metals.
Frying pans see usually made out of metal because metal is a great conductor of heat. The food can then cook faster. Why is metal a good conductor? it is because the molecules are tightly packed together, allowing the heat to travel through quickly

A flashlight has a resistance of 30 Q and is connectedby a wire to a 90 V source of voltage. What is the
current in the flashlight?

Answers

Answer:

3 A

Explanation:

The relationship between voltage, current and resistance in a conductor is expressed by Ohm's law, which states that:

V=RI

where:

V is the potential difference across the conductor

R is the resistance of the conductor

I is the current flowing through it

In this problem, for this flashlight we have:

V = 90 V is the potential difference

R=30 \Omega is the resistance of the flashlight

Solving for I, we find the current:

I=(V)/(R)=(90)/(30)=3 A

What causes earthquakes and volcanic erruptions

Answers

Tectonic plates under the ground ,either go on top of each other or crash.
The tectonic plates as they have energy that causes volcanic explosions and earthquakes. SCIENCE!!!!!!!

The chart shows data for four moving objects.Object
Final Velocity
(m/s)
29
Change in
Time (s)
Initial Velocity
(m/s)
11
10
12
20
W
X
Y
IZ
Which object has the greatest acceleration?
34
Ow
OZ

Answers

Answer:

Y

Explanation:

The answer is y because,

W: (29-11)/6 = 3

X: (34-10)/12 =2

Y: (40-12)/7=4

Z= (28-20)/8=1

4 is greater then all, therefore the answer is Y

Answer:

X

Explanation:

v=u+at but t is constant so

a=v-u

for x

a=29-10

a=19

which marks the greater acceleration

31 POINTS COME AN GET IT PPL!If a satellite or spaceship explodes in outer space, you can see the explosion from a distance but you cannot hear it. Why?












A)
Light waves travel very fast and sound waves travel much slower.



B)
Sound waves transmit energy while light does not transmit energy.



C)
Sound is a mechanical wave and needs a medium to travel through while light is an electromagnetic wave.



D)
Light is a mechanical wave and needs a medium to travel through while sound is an electromagnetic wave

Answers

The answer is A.

Light waves travel faster than sound waves. This is also why lightning is always seen before thunder is heard.

Which organelle is responsible for packaging molecules tosend to other places in the cell?


A.
mitochondria


B.
vacuole


C.
Golgi body


D.
nucleus
ASAP

Answers

C. It is the Gogli complex
Hope it helps :D
The organelle that is responsible for packaging molecules to send to other places in the cell is Golgi body. The answer is C.