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svp [43]
3 years ago
11

Two thin rectangular sheets (0.16 m x 0.44 m) are identical. In the first sheet the axis of rotation lies along the 0.16-m side,

and in the second it lies along the 0.44-m side. The same torque is applied to each sheet. The first sheet, starting from rest, reaches its final angular velocity in 8.5 s. How long does it take for the second sheet, starting from rest, to reach the same angular velocity?
Physics
1 answer:
malfutka [58]3 years ago
7 0

Answer:

t'=1.124s

Explanation:

I_b*a_b=I_a*a_a

a_a=\frac{w_f}{t'}

a_b=\frac{w_f}{t}

I_b*\frac{w_f}{t}=I_a*\frac{w_f}{t'}

I_b*\frac{1}{t}=I_a*\frac{1}{t'}

I=\frac{1}{3}*M*r^2

I_a=\frac{1}{3}*M*r_a^2

I_b=\frac{1}{3}*M*r_b^2

\frac{1}{3}*M*r_b^2*\frac{1}{t}=\frac{1}{3}*M*r_a^2*\frac{1}{t'}

t'=(\frac{r_a}{r_b})^2 *t

t'=(\frac{0.16m}{0.44m})^2*t

t'=\frac{16}{121}*8.5s

t'=1.124s

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3 years ago
A 40kg load is raised to a height of 25m. If the operation requires 1 min, find the power required​
OlgaM077 [116]

Answer:

163.33 Watts

Explanation:

From the question given above, the following data were obtained:

Mass (m) = 40 Kg

Height (h) = 25 m

Time (t) = 1 min

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Next, we shall determine the energy. This can be obtained as follow:

Mass (m) = 40 Kg

Height (h) = 25 m

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E = mgh

E = 40 × 9.8 × 255

E = 9800 J

Finally, we shall determine the power. This can be obtained as illustrated below:

Time (t) = 1 min = 60 s

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P = 163.33 Watts

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2 years ago
A shopping cart given an initial velocity of 2.0 m/s undergoes a constant acceleration to a velocity of 13 m/s. What is the magn
olga55 [171]

Answer:

The acceleration is a = 2.75 [m/s^2]

Explanation:

In order to solve this problem we must use kinematics equations.

v_{f} = v_{i} + a*t\\

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Vf = final velocity = 13 [m/s]

Vi = initial velocity = 2 [m/s]

a = acceleration [m/s^2]

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Now replacing:

13 = 2 + (4*a)

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dexar [7]

Answer: 2.99(10)^{-8} m/s

Explanation:

When a number is written in scientific notation (representing the number using powers of base ten) it is expressed so that it contains a digit in the place of the units and all other digits after the decimal point, multiplied by the respective exponent.  

Then, the significant figures (or significant digits) will be the digits that are before the power of ten.  

Now, in the case of the number 299,792,458 if we want to write it with three significant digits, we have to write it in scientific notation as:

2.99(10)^{-8}

7 0
3 years ago
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