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dmitriy555 [2]
3 years ago
5

A bicycle has wheels of 0.70 m diameter. The bicyclist accelerates from rest with constant acceleration to 22 km/h in 10.8 s. Wh

at is the angular acceleration of the wheels?
Physics
1 answer:
Anna11 [10]3 years ago
3 0

Answer:

\alpha=0.16\frac{rad}{s^2}

Explanation:

Angular acceleration is defined as the variation of angular speed with respect to time:

\alpha=\frac{\omega}{t}

The relation between the angular speed and the linear speed is given by:

\omega=\frac{v}{r}

Replacing (2) in (1):

\alpha=\frac{v}{rt}

We need to convert \frac{km}{h} to \frac{m}{s}:

22\frac{km}{h}*\frac{1h}{3600s}*\frac{1000m}{1km}=6.11\frac{m}{s}

Recall that:

r=\frac{d}{2}=\frac{0.7m}{2}=3.5m

Replacing:

\alpha=\frac{6.11\frac{m}{s}}{(3,5m)(10.8s)}\\\alpha=0.16\frac{rad}{s^2}

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Which of the following statements accurately describes the properties of gases?
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<span>A change in the pressure of a gas results in a more significant change in volume than it would in a liquid.  is the statement that accurately describes the property of gas. Gas only depends on how you store it. the bigger the space the wider gas can expand, the smaller the space, the more compress the gas can become.</span>
4 0
3 years ago
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We divide the electromagnetic spectrum into six major categories of light, listed below. Rank these forms of light from left to
algol13

Answer:

gamma rays  < X-ray  < ultraviolet ray < visible light < infrared  < radio wave

Explanation:

given light form,

A) radio waves,B) infrared,C) visible light,D) ultraviolet,E) X-rays,F) gamma rays

we know,

wavelength of radio wave = 10000 Km

wavelength of infrared = 700 nanometers (nm) to 1 millimeter (mm)

wavelength of visible light = 380 to 740 nm

wavelength of ultraviolet ray = 10 nm to 400 nm

wavelength of X-ray =  0.01 to 10 nm

wavelength of gamma rays = 100 picometer

so, the order of rays.

gamma rays  < X-ray  < ultraviolet ray < visible light < infrared  < radio wave

6 0
3 years ago
a object with a mass of 70 kilograms is supported at a height 8 meters above the ground.what's the potential energy of the objec
Agata [3.3K]
Potential Energy = mgh,

where m = mass in kg,  g ≈ 10 m/s², h = height above ground = 8 m

PE = mgh
  
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7 0
3 years ago
The weight of a basketball with a mass of 0.5 kg is _N.
Mariana [72]

Answer:

4.9N

Explanation:

The formula for weight is F = ma.

You plug in the mass of 0.5kg and an acceleration of 9.8 to get

F = (0.5)(9.8)

F = 4.9N

3 0
3 years ago
A 120-V motor has mechanical power output of 2.50hp. It is 90.0% efficient in converting power that it takes in by electrical tr
EastWind [94]
  1. The current in this motor is equal to 17.27 Ampere.
  2. The energy delivered to this motor in 3.00 hours is equal to 22.38 Megajoules.
  3. At $0.110/kWh, the cost to run the motor for 3.00 hours is equal to $0.684.

<h3>How to determine the current (in A) delivered to the motor?</h3>

Assuming this electric motor is a single-phase motor and it operates by using DC current, its mechanical power output would be given by:

W = ηIV

Making current (I) the subject of formula, we have:

I = ηV/W

Substituting the given parameters into the formula, we have;

I = (2.50 × 0.746 × 1000)/(0.9 × 120)

I = 1,865/108

Current, I = 17.27 Ampere.

For the energy delivered to this motor, we have:

First of all, we would determine the power delivered to this motor as follows:

Power, P = IV

Power, P = 17.27 × 120

Power, P = 2,072.4 Watt.

Therefore, the energy delivered to this motor in 3.00 hours is given by:

Energy = power × time

Energy = 2,072.4 × 3.00 × 3,600 × 1/1000000

Energy = 22.38 Megajoules.

<h3>How to determine the cost?</h3>

At $0.110/kWh, the cost to run the motor for 3.00 hours is given by:

Cost = 0.110 × 22.38 × 0.278

Cost = $0.684.

Read more on energy here: brainly.com/question/15567897

#SPJ4

Complete Question:

A 120-V motor has mechanical power output of 2.50 hp. It is 90.0% efficient in converting power that it takes in by electrical transmission into mechanical power.

(a) Find the current in the motor.

(b) Find the energy delivered to the motor by electrical transmission in 3.00 h of operation.

(c) If the electric company charges $0.110/kWh, what does it cost to run the motor for 3.00 h?

6 0
1 year ago
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