Working with the diffraction angle of sound and its relation to frequency.

(a) When sound emerges from a loudspeaker, is the diffraction angle determined by the wavelength, the diameter of the speaker, or a combination of these two factors? (b) How is the wavelength of a sound related to its frequency?

Constructive and destructive interference of sound wave

Speakers A and B are vibrating in phase. They are directly facing each other, are 7.80 m apart, and are each playing a 73.0-Hz tone. The speed of sound is 343 m/s. On the line between the speakers there are three points where constructive interference occurs. What are the distance of these three points from speaker A?

Diffraction of sound

A 1500-Hz sound and a 8500-Hz sound each emerge from a loudspeaker through a circular opening whose diameter is 0.30 m. Assuming that the speed of sound in air is 343 m/s, find the diffraction angle θ for each sound

Working with instantaneous velocity and position.

The position of a particle moving on an x axis is given by: x= 7.8 + 9.2t - 2.1t^3 with x in meters and t in seconds. What is its velocity at t=3.5 s? Is velocity constant or changing?

The Speed of a Wave

A 0.75 m string is stretched so the tension is 2.3N. A transverse wave with a frequency of 150 Hz and a wavelength of 0.40 m travels on the string. What is the mass of the string?

Calculating the reaction force on the ground from a falling ladder.

An 8 m long, 12kg, uniform ladder leans against a frictionless wall making an angle of 65 degrees with the floor. A 75 kg person is able to climb to the 7 m mark on the ladder before it slips. What is the reaction force on the ground?

Half life of a radio active material

A radio active substance has a half life of 30 days. Calculate (a) the radioactive disintegration constant (b) The average life (c) the time taken for ¾ of the original number of atoms to disintegrate and (d) the time taken for 1/8 of the original number of atoms to remain unchanged

Displacement of a beam of Hydrogen ions subjected to magnetic and electric fields.

A uniform electric field of 1.6 x 10^3 V/m and a uniform magnetic field of 3.34 x 10^-3 Wb/m^2 are parallel to each other and are acting along the Z-direction. A beam of Hydrogen ions of energy 150 eV is released in the X direction. A photographic plate is placed normal to the motion of the ions at a distance of 0.5m from the or ...continues

Calculating the period of revolution and the orbital radius of an electron in a magnetic field.

An electron of energy 10eV is circulating in a plane at right angles to a uniform field of strength 10^-4 Wb/m^2 (1 Gauss). Calculate the radius of the orbit of the electron and its period of revolution.

Equilibrium

What magnitude of force applied horizontally at the axle of the wheel is necessary to raise the wheel over an obstacle of height h? The wheel's radius is r and its mass is m. The wheel is shown on a flat surface resting against a step of height h. The point touching the step is at 4 o'clock on the wheel. I know a picture woul ...continues