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2 years ago

If the speed of the wave along the rope is 3.2 m/s. Calculate the frequency of the wave

Physics

1 answer:

kotykmax [81]2 years ago

4 0

Answer:

2Hz

Explanation:

Find the diagram attached

Using the formula;

v = fλ

v is the velocity

f is the frequency

λ is the wavelength

Given the following

v = 3.2m/s

λ = 4.8/3 = 1.6m

Get the frequency

f = v/λ

f = 3.2/1.6

f = 2Hertz

Hence the frequency of the wave is 2Hz

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A constant torque of 3 Nm is applied to an unloaded motor at rest at time t = 0. The motor reaches a speed of 1,393 rpm in 4 s.

irakobra [83]

Answer:

The moment of inertia of the motor is 0.0823 Newton-meter-square seconds.

Explanation:

From Newton's Laws of Motion and Principle of Motion of D'Alembert, the net torque of a system ( $\tau$ ), measured in Newton-meters, is:

$\tau = I\cdot \alpha$ (1)

Where:

$I$ - Moment of inertia, measured in Newton-meter-square seconds.

$\alpha$ - Angular acceleration, measured in radians per square second.

If motor have an uniform acceleration, then we can calculate acceleration by this formula:

$\alpha = \frac{\omega - \omega_{o}}{t}$ (2)

Where:

$\omega_{o}$ - Initial angular speed, measured in radians per second.

$\omega$ - Final angular speed, measured in radians per second.

$t$ - Time, measured in seconds.

If we know that $\tau = 3\,N\cdot m$ , $\omega_{o} = 0\,\frac{rad}{s }$ , $\omega = 145.875\,\frac{rad}{s}$ and $t = 4\,s$ , then the moment of inertia of the motor is:

$\alpha = \frac{145.875\,\frac{rad}{s}-0\,\frac{rad}{s}}{4\,s}$

$\alpha = 36.469\,\frac{rad}{s^{2}}$

$I = \frac{\tau}{\alpha}$

$I = \frac{3\,N\cdot m}{36.469\,\frac{rad}{s^{2}} }$

$I = 0.0823\,N\cdot m\cdot s^{2}$

The moment of inertia of the motor is 0.0823 Newton-meter-square seconds.

5 0

2 years ago

A 4.5-kg, three legged stool supports a 89-kg person. If each leg of the stool has a cross-sectional diameter of 2.8 cm and the

kkurt [141]

Answer:

4.96 × 10⁵ Pa

Explanation:

F = mg

$F = (m_{person}+m_{stool})g\\\\F = (4.5 + 89)*9.8\\\\F = 916.3 N$

This force is evenly distributed on the three leg

radius, r = d/2

= 2.8 / 2

= 1.4 cm = 0.014 m

total cross sectional area of the three legs, A = 3*pi*r^2

$= 3\times\pi \times0.014^2\\\\= 1.847\times10^-^3m^2$

Pressure due to weight,

P = Weight/A

$P = / 1.847 × 10⁻³\\P = \frac{ 916.3N}{1.847\times10^-^3} \\\\P= 496032.9Pa$

P = 4.96 × 10⁵ Pa

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2 years ago

A circle graph shows that one-fourth of the students in a particular school ride the bus every day. What is this equivalent meas

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Answer:

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A ball is at rest at the top of a hill until a boy kicked it with his foot. What is the force that causes motion in this scenari

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The boy’s foot causes the motion. His foot is the one that causes the ball to roll down the hill.

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A 50 kg mass is placed 2 meters from the fulcrum. To balance the lever, a second object is placed 4 meters

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Answer:

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2 years ago

If the speed of the wave along the rope is 3.2 m/s. Calculate the frequency of the wave​

If the speed of the wave along the rope is 3.2 m/s. Calculate the frequency of the wave