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mafiozo [28]
4 years ago
11

Suppose a wheel with a tire mounted on it is rotating at the constant rate of 2.032.03 times a second. A tack is stuck in the ti

re at a distance of 0.357 m0.357 m from the rotation axis. Noting that for every rotation the tack travels one circumference, find the tack's tangential speed.
Physics
1 answer:
Luda [366]4 years ago
6 0

Answer:

4.55 m/s

Explanation:

The frequency is defined as the number of rotations in one second

So, f = 2.03 Hz

r = 0.357 m

The tangential speed is

v = r ω = r x 2 x 3.14 x f = 0.357 x 2 x 3.14 x 2.03 = 4.55 m/s

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gladu [14]
The answer is 175184.08 joules
4 0
3 years ago
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What is the magnitude of the net force ∑ F on a 1.9 kg bathroom scale when a 74 kg person stands on it?
dexar [7]

Answer:

725.2‬ N

Explanation:

Since it is not stated the scale, the person or both accelerated or experience weightlessness, the net force acting on the bathroom scale is the weight of the person acting downward as the person stands on the scale .

                       Weight = mass of a body × acceleration due to gravity

                                    = 74 kg × 9.8 m/s²

                                    = 725.2‬ N    

6 0
4 years ago
which statements about acceleration are true? check all that apply. a. the si units of acceleration are m/s2. b. for acceleratio
tatiyna

The first thing you should know is that acceleration is a vector, therefore, it has magnitude, and direction.

By definition, we have that the vector acceleration is given by:

a = \frac{dv}{dt}\\

Where,

dv/dt: derived from the velocity vector with respect to time,

Therefore, the units of the vector acceleration are:

a = \frac{\frac{m}{s}}{s}\\

a = \frac{m}{s^2}

The symbol of acceleration is:

a^{->}

Answer:

The statements about acceleration that are true are:

a. the si units of acceleration are m/s2.

b. for acceleration, you must have a number, a unit, and a direction.

d. the symbol for acceleration is (True, only if the symbol is the same as above)

5 0
3 years ago
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The acceleration of gravity on Mars is about 3.7 meters per second squared. Suppose a rock falls from a tall cliff on Mars. Writ
ratelena [41]

Answer:

The answer to your question is  Equation  vf = gt;  vf = 29.6 m/s

Explanation:

Data

gravity = 3.7 m/s²

vf = ?

time = t = 8 s

Formula

       vf = vo + gt

Initial speed = 0 m/s

To solve this problem we can use the equations of free fall and just substitute the data.

- Substitution

      vf = 0 + (3.7)(8)

- Simplification

      vf = 29.6 m/s

7 0
3 years ago
A damped LC circuit consists of a 0.17 μF capacitor and a 15 mH inductor with resistance 1.4Ω. How many cycles will the circuit
Dafna1 [17]

Answer:

number of cycles = 4.68 × 10⁴ cycles

Explanation:

     In damped RLC oscillation

voltage (V(t)) = V_o\ e^{-\dfrac{tR}{2L}}............(1)

given,

C = 0.17μF = 0.17 × 10⁻⁶ F

R = 1.4 Ω

L = 15 m H = 15 × 10⁻³ H              V(t) = V₀/2

From the equation (1)

\dfrac{V_0}{2} = V_0\ e^{-\dfrac{tR}{2L}}

 2 = e^{\dfrac{tR}{2L}}

taking log both side

ln ( 2 ) = \dfrac{tR}{2L}

t = \dfrac{2 L ln(2)}{R}

t = \dfrac{2 \times 15 ln(2)}{1.4}

t = 14.85 sec

time period

T= 2\pi \sqrt{LC}

T= 2\pi \sqrt{0.015 \times 0.17 \times 10^{-6}}

T = 3.172 × 10⁻⁴

number of cycle =\dfrac{t}{T}

                           =  \dfrac{14.85}{3.172 \times 10^{-4}}

  number of cycles = 4.68 × 10⁴ cycles

8 0
3 years ago
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