1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
melomori [17]
3 years ago
6

If an object moves in uniform circular motion in a circle of radius R = 1.0 meter, and the object takes 4.0 seconds to complete

ten revolutions, calculate the magnitude of the velocity around the circle. (Note: Remember, 10 revolutions is a counting number and not a measurement.) v=_____ m/s 1.6 m/s 2.5 m/s 5 m/s 16 m/s
Physics
2 answers:
boyakko [2]3 years ago
7 0

Answer: 2.5 m/s

Explanation: The velocity in in uniform circular motion is given by:

v=w^2*r where w is angular frequency

w=2*Pi/T  where T is the period

Finally we can calculate v= (2*Pi)^2/T^2*R   where R=1 m

ch4aika [34]3 years ago
3 0

Answer:

16m/s

Explanation:

The velocity v is given by the following relationship;

v=\omega R.......... (1)

where \omega is the angular velocity and R is the radius of the circular path. Angular velocity is defined as the  number of revolutions made by a body in circular motion per unit time or the angle turned through per unit time. It is measured in radians per second.

Also, the following relationship holds for \omega;

\omega=\theta /t...............(2)

where \theta is the angle turned through and t is the time taken.

Given; t = 4s, number of revolutions n = 10.

The angle turned can be obtained from the number of revolutions  by recalling the following;

1 revolution=2\pi rad\\hence\\10revolutions=10*2\pi rad=20\pi rad

Hence; \theta=20\pi rad

Substituting \theta and t into equation (2), the obtain the angular velocity as follows;

\omega=20\pi/4\\\omega=5\pi rads^{-1

Finally we substitute into equation (1) to obtain the linear velocity v as required.

v=5\pi*1=5\pi m/s

Taking \pi =22/7;

v = 15.7m/s which is approximately 16m/s

You might be interested in
A lever is used to lift a heavy weight. The length of the input arm of the lever is 3 m, the length of output arm is 1 m.
Romashka-Z-Leto [24]

Answer: 13inch

Explanation:

8 0
3 years ago
The mass of Jupiter is 1.9 × 1027 and that of the sun is 1.99 × 1030. The
n200080 [17]

Answer:

F = 4.147 × 10^23

v = 1.31 × 10^4

Explanation:

Given the following :

mass of Jupiter (m1) = 1.9 × 10^27

Mass of sun (m2) = 1.99 × 10^30

Distance between sun and jupiter (r) = 7.8 × 10^11m

Gravitational force (F) :

(Gm1m2) / r^2

Where ; G = 6.673×10^-11 ( Gravitational constant)

F = [(6.673×10^-11) × (1.9 × 10^27) × (1.99 × 10^30)] / (7.8 × 10^11)^2

F = [25.231 × 10^(-11+27+30)] / (60.84 × 10^22)

F = (25.231 × 10^46) / (60.84 × 10^22)

F = 3.235 × 10^(46 - 22)

F = 0.4147 × 10^24

F = 4.147 × 10^23

Speed of Jupiter (v) :

v = √(Fr) / m1

v = √[(4.147 × 10^23) × (7.8 × 10^11) / (1.9 × 10^27)

v = √32.3466 × 10^(23+11) / 1.9 × 10^27

v = √32.3466× 10^34 / 1.9 × 10^27

v = √17. 023 × 10^34-27

v = √17.023 × 10^7

v = 13047.221

v = 1.31 × 10^4

4 0
3 years ago
Explain why radiation is dangerous to humans
tia_tia [17]
Radiation damages the cells that make up the human body, it can even cause cancer
7 0
3 years ago
Read 2 more answers
Kepler deduced this law of motion from observations of Mars. What information confirms his conclusion that the orbit of Mars is
Leno4ka [110]

Kepler noticed an imaginary line drawn from a planet to the Sun and this line swept out an equal area of space in equal times, If we then draw a triangle out from the Sun to a planet’s position at one point in time, it is notice that the area doesn't change even after the planet has left the original position say like after 2 to 3days or 2hours. So to have same area of triangle means that the the planet move faster when that are closer to the sun and slowly when they are far from the sun.

This led to Kepler's law of orbital motion.

First Law: Planetary orbits are elliptical with the sun at a focus.

Second Law: The radius vector from the sun to a planet sweeps equal areas in equal times.

Third Law: The ratio of the square of the period of revolution and the cube of the ellipse semi-major axis is the same for all planets.

It is this Kepler's law that makes Newton to come up with his own laws on how planet moves the way they do.

6 0
3 years ago
A 30-gram bullet is fired and a 50-gram bullet is dropped simultaneously from the same height. Which will hit the ground first?
Marina86 [1]

Answer: the 30gram will hit the ground first

Explanation:the 30gram bullet will hit the ground first because it is fired

4 0
3 years ago
Read 2 more answers
Other questions:
  • Two trees have perfectly straight trunks and are both growing perpendicular to the flat horizontal ground beneath them. The side
    6·1 answer
  • Tarzan swings on a 30.0m long vine initially inclined at an angle 37 degrees with the vertical. What is his speed at the bottom
    8·1 answer
  • John rides his motorcycle with a constant speed of 40 miles per hour. How far can he travel in 1/2 an hour?
    14·1 answer
  • Please I need help on this
    15·1 answer
  • A rock is tossed straight up from ground level with a speed of 22 m/s. When it returns, it falls into a hole 9.0 m deep. a. What
    9·1 answer
  • The amount of force needed to sustain motion of a rock in outer space is
    14·1 answer
  • A battery of e.m.f. 10 V is connected to resistance as shown in figure. The potential
    9·1 answer
  • What is the advantage of adding more pulleys to a system of pulleys?
    9·1 answer
  • 6. A car travels a distance of 10 miles in 2 minutes towards 695 north east. 3 points
    15·1 answer
  • Question 1
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!