Answer: Tension = 47.8N, Δx = 11.5×
m.
Tension = 95.6N, Δx = 15.4×
m
Explanation: The speed of a wave on a string under tension can be determined using the following:
denotes tension (N)
μ refers to linear density (kg/m)
Calculating the velocity:
0.0935 m/s
Distance a pulse traveled in 1.23ms:
Δx = 11.5×
With a tension of 47.8N, the distance a pulse will cover is Δx = 11.5× m.
When tension is doubled:
|v| = 0.1252 m/s
Distance in the same time:
15.4×
With the increased tension, it moves 15.4× m
The response is outlined below. Audio power amplifiers are present in various sound systems, including those for sound reinforcement, public addresses, home audio, and musical instrument amplifiers like those for guitars. This component is the final electronic element in the audio playback chain before signals reach the loudspeaker. To achieve the loudest possible sound, it is essential to maximize output while maintaining high input and low output impedance.
The sound wave intensity at the sphere's surface is described as follows: B = Bulk modulus. The oscillation amplitude of the sphere can be represented as: Substitute velocity and amplitude into Pmax. The intensity of the sound wave at a distance is determined by:
To find the mass using a weight of 1.4 N:
1.4/9.8 = 0.1428 kg
The momentum is calculated as 0.1428 multiplied by 44.7, which is 6.38 kgm/s.
To address the issue, it is essential to utilize the equations of Torque along with their definitions.
Torque is described as,
where,
I=Moment of Inertia
Angular acceleration
Additionally, Torque in relation to linear motion is indicated as,
with,
F = Force
d= distance
The provided parameters are as follows:
R = 30 cm = 0.3m
m = 1.5 kg
F = 20 N
r = 4.0 cm = 0.04 m
t = 4.0s
Thus, aligning the two equations, we find that:
For a wheel, the moment of inertia is expressed as,
I= mR², substituting yields
Therefore, the wheel's velocity is
Consequently, the right answer is D.
