Answer:
The magnitude of the current is 5.45 mA.
Explanation:
Given that,
Resistance = 10.0 ohm
Radius = 0.10 m
Magnetic field = 1.0 T
Angle = 30°
Increase magnetic field = 7.0 T
Time t = 3.0 s
Number of turns = 1
We need to calculate the initial flux
Using formula of flux

Put the value into the formula



We need to calculate the final flux


We need to calculate the induced emf
Using formula of emf

Put the value into the formula


We need to calculate the current
Using formula of current

Put the value into the formula


Hence, The magnitude of the current is 5.45 mA.
Answer:
Δt = 0.315s
Explanation:
To calculate the time difference, in which both fans hear the batterstrike, you first calculate the time which takes the sound to travel the distances to both fans:


d1: distance to the first fan = 18.3 m
d2: distance to the second fan = 127 m
vs: speed of sound = 345 m/s
You replace the values of the parameters to calculate t1 and t2:

The difference in time will be:

Hence, the time difference between hearing the sound at the location s of both fans is 0.315s
Answer:
If a pitch vibrates at 880 cycles, the octave below would vibrate at 440 cycles.
Explanation:
Pitch of sound is defined as relative highest and the lowest point of sound. The pitch is dependent on frequency of vibration.
Octave is defined as a tone which is formed due to merging of two different tone. The resultant tone is merged so well that it sound like a single tone.
Thus, Number cycle in octave = 
Number cycle in octave = 
Number cycle in octave = 440
Thus, If a pitch vibrates at 880 cycles, the octave below would vibrate at 440 cycles.