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3 years ago

Finding Dimensional Formula For x=vt+1/2at is

Physics

1 answer:

Vika [28.1K]3 years ago

5 0

Answer:

In the picture above.

Explanation:

I hope that it's a correct answer for dimensional analysis.

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In a fast-pitch softball game the pitcher is impressive to watch, as she delivers a pitch by rapidly whirling her arm around so

Pepsi [2]

Answer:

(a) 181.05 m/s²

(b) 13.2°

Explanation:

Given:

Radius of the circle (R) = 0.610 m

Angular acceleration (α) = 67.6 rad/s²

Angular speed (ω) = 17.0 rad/s

(a)

Radial acceleration of the ball is given as:

$a_r=\omega^2R$

Plug in the given values and solve for $a_r$ . This gives,

$a_r=(17.0\ rad/s)^2\times (0.610\ m)\\\\a_r=289\times 0.610\ m/s^2\\\\a_r=176.29\ m/s^2$

Now, tangential acceleration is given by the formula:

$a_t=R\alpha$

Plug in the given values and solve for $a_t$ . This gives,

$a_t=(0.610\ m)(67.6\ rad/s^2)\\\\a_t=41.236\ m/s^2$

Now, the magnitude of total acceleration is given as the square root of the sum of the squares of tangential and centripetal accelerations. Therefore,

$a_{Total}=\sqrt{(a_r)^2+(a_t)^2}$

Plug in the given values and solve for total acceleration, $a_{Total}$ . This gives,

$a_{Total}=\sqrt{(176.29)^2+(41.236)^2}\\\\a_{Total}=181.05\ m/s^2$

Therefore, the magnitude of total acceleration is 181.05 m/s².

(b)

Angle of total acceleration relative to radial direction is given by the formula:

$\theta=\tan^{-1}(\frac{a_t}{a_r})\\\\\theta=\tan^{-1}(\frac{41.236}{176.29})\\\\\theta=13.2\°$

Therefore, the total acceleration makes an angle of 13.2° relative to radial direction.

4 0

3 years ago

A fighter plane is flying overhead at mach 1.50. What angle does the wave front of the shock wave produced make relative to the

olga2289 [7]

Answer:

θ = 41.80°

Explanation:

Given that

Mach number M= 1.5

We know that

M = u/c

Where c is the velocity of sound and u is the speed of plane

c= 340 m/s

u = 1.5 x 340 m/s

u = 510 m/s

We know that

$sin\theta =\dfrac{c}{u}$

Now by putting the values

$sin\theta =\dfrac{c}{u}$

$sin\theta =\dfrac{340}{510}$

θ = 41.80°

So the angle will be 41.80°.

8 0

3 years ago

Sixty identical drippers, each with a hole of diameter 1.00 mm, are used to water a yard. If the water in the main pipe of diame

VashaNatasha [74]

Answer:

$V = 5.30 *10^{-2} \ m^3$

$v_1 = 0.3127 \ m/s$

Explanation:

From the question we are told that

The number of identical drippers is n = 60

The diameter of each hole in each dripper is $d = 1.0 \ mm = 0.001 \ m$

The diameter of the main pipe is $d_m = 2.5 \ cm = 0.025 \ m$

The speed at which the water is flowing is $v = 3.00 \ cm/s = 0.03 \ m/s$

Generally the amount of water used in one hour = 3600 seconds is mathematically represented as

$V = A * v * 3600$

Here A is the area of the main pipe with value

$A = \pi * \frac{d^2}{4}$

=> $A = 3.142 * \frac{0.025^2}{4}$

=> $A = 0.0004909 \ m^2$

=> $V = 0.0004909 * 0.03 * 3600$

=> $V = 5.30 *10^{-2} \ m^3$

Generally the area of the drippers is mathematically represented as

$A_1= n * \pi \frac{d^2}{4}$

=> $A_1 = 60 * 3.142 * \frac{0.001 ^2}{4}$

=> $A_1 = 4.713 *10^{-5} \ m^2$

Generally from continuity equation we have that

$Av = A_1 v_1$

=> $0.0004909 * 0.03 = 4.713 *10^{-5} * v_1$

=> $v_1 = 0.3127 \ m/s$

3 0

3 years ago

A car travels at an average speed of 60 km / h for 15 minutes. How far does the car travel in 15 minutes?

salantis [7]

Answer:

15km

Explanation:

Given parameters:

Average speed = 60km/hr

Time taken = 15min

Unknown:

Distance = ?

Solution:

The distance traveled can de derived using the expression below;

Distance = Average speed x time taken

Now let us convert the time to hr;

60min = 1hr

15min = $\frac{15}{60}$ = 0.25hr

Distance = 60km/hr x 0.25hr = 15km

6 0

3 years ago

Complete the following sentences.

MrMuchimi

force pull the ball towards it with a force called gravity.
newton

5 0

3 years ago

Finding Dimensional Formula For x=vt+1/2at is​

Finding Dimensional Formula For x=vt+1/2at is