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A bag contains 6 purple marbles and 7 white marbles Two marbles are drawn at random One marble is drawn and not replaced Then a second marble is drawn What is the probability that the first marble?
There are 13 marbles in total. The order is specified.P(1st is white and the 2ndis purple) = (7/13)(6/12) = (7/13)(1/2) = 7/26.
What is the angular velocity of a 6 and ndashfoot pendulum that takes 3 seconds to complete an arc of 14.13 feet Use 3.14 for and pi.?
The whole point of a pendulum is that is swings back and forth. It does not travel at constant angular velocity: the angular velocity is zero at the two ends of its arc and it reaches a maximum when the pendulum is vertical. Consequently there cannot be a sensible answer to the question as asked.The average angular velocity, which is an entirely different measure, is 45 degrees per second.
What is the linear speed of the tip of the second hand of a watch with a length of 15 mm?
The second hand moves 1/60th of a full rotation per second, this is equivalent to 2π/60 radians per second this is known as the objects angular velocity. the equation linking linear velocity and angular velocity is v=rω where v=linear velocity, ω=angular velocity and r=radius and so we must substitute our values in. v=(15/1000)(π/30)=0.00157 m/s which is 1.57mm/s. notice instead of just putting 15 for the radius, i did 15/1000 in order to change it from millimetres to metres, this gave me the linear velocity in m/s.
A wheel is rotating at 250 revolutions per minute find the angular speed in radians per second?
1 revolution = (2 pi) radians1 minute = 60 seconds250 rpm = [ (250) x (2 pi) radians ] per [ 60 seconds ]= 26.18 radians per second (rounded)
What is the time when a lizard ran 9 meters at a speed of 3 meter per second?
According to mathematics, we know the relation between speed, distance and time . We know by science , speed =distance / time. time = distance / speed. Hence , Time = 9/3. =3 seconds. 3 seconds is the time when a lizard ran 9 meters at a speed of 3 meter per second.
Does angular speed depend on distance?
No, angular speed does not depend on distance. Angular speed is the rate at which an object rotates around a specific point, typically measured in radians per second or degrees per second. Distance is not a factor in determining angular speed.
How do you measure the speed of a marble?
You can measure the speed of a marble by using a stopwatch to record the time it takes for the marble to travel a known distance. Divide the distance by the time to calculate the speed in units such as meters per second or feet per second. Alternatively, you can use a motion sensor or tracking software to measure the speed of the marble in real time.
How many arc seconds away is Vega?
An arc second is a measure of angular separation, not of distance. It is therefore an inappropriate unit for measuring the distance to a star.
What could Kepler's second law be used to measure?
Kepler's second law says that the line joining a planet to the Sun sweeps out equal areas in equal time. Kepler noticed that when a planet's orbit takes it slightly further from the Sun, it moves more slowly. He deduced from calculations made from observations that when the distance increases by 1%, the angular speed decreases by 1%, so the distance times the angular speed, which is the area swept out per second, stays constant. He found this is true all the time for all the planets, a very important discovery in the history of science. The planet's mass times the distance times the angular speed is the angular momentum, and this stays constant. So angular momentum is 'conserved' as the planet goes round, speeding up and slowing down in its orbit. Therefore the second law is now known as a statement of an important physical principle called the Conservation of Angular Momentum. In this way Kepler's second law contributed to scientific progress after his death. Angular speed is measured in radians per second, and the angular momentum is mass times distance times angular speed. For a single particle it is equal to the linear momentum of the particle (mass times speed), while for a rigid body it is the angular speed times the moment of inertia.
What is its SI unit of angular velocity?
Particle displacement is a measurement of distance of the movement of a particle in a medium as it transmits a wave. Distance is measured in meters.
What is the angular velocity in radians per second of the second hand of a clock?
The angular velocity of the second hand of a clock is pi/30 radians per second.
How is rpm related to speed?
More rpm means more speed, but the speed is also related to the diameter of the rotating object. The exact formula is: speed = angular speed x radius (assuming compatible units are used: for example, speed in meters/second, angular speed in expressed in radians/second, radius in meters).
What is the angular speed of the second hand?
6 degrees/second
Why do neutron stars tend to have high angular velocities?
That's because of conservation of angular momentum - and the fact that neutron stars are very small. If a star the size of our Sun rotates (for example) once a month, once it shrinks to a diameter of 20-30 km., it will have to rotate several times per second in order to conserve angular momentum.
Dimensions of angular momentum are?
The dimensions of angular momentum are usually represented as mass multiplied by velocity multiplied by distance, which is equivalent to kilogram meters squared per second (kg m^2/s). It is a measure of the rotational motion of an object.
What is unit of angular momentum?
Angular momentum is defined as the cross product of a distance (from the axis of rotation) and a momentum, so you have to use units accordingly. In the SI, that would be meters x kilograms x meters / second, which you can simplify to meters squared x kilograms / second. This is equivalent to joules x seconds.
What are the magnitude of the angular velocity and the angular accelaration of the second hand of a clock?
The magnitude of the angular velocity of the second hand of a clock is 6 degrees per second (360 degrees divided by 60 seconds), while the angular acceleration is zero since the second hand moves at a constant speed.
