What is the value of n?<br> (3×n)+4=<br> 32÷2

The unbalanced wheel has a mass of 15 kg and rolls without slipping on the flat horizontal surface. The wheel has a radius of gy

miv72 [106K]

Answer:

a) $a_w=4.331m/s^2$

b) $F=53.7N$

c) $\mu=96.5N$

Step-by-step explanation:

From the question we are told that

mass of unbalanced wheel $M=15kg$

Radius of gyration $G=64m$

Mass center $M_c =40mm=$ $4*10^{-2} m$

Angular velocity $\omega=4rads/s$

a)

Generally the equation for moment at point A is mathematically given as

$\sum M_a=I \alpha+\sum M \=ad$

Where $a_w=wheel\ accelaration$

$15*9.81*(0.04)=0.06144*\frac{a_w}{0.1}+15(0.04)(0.04)\frac{a_w}{0.1}+(15a_w-15(0.04)(4^2)0.1)$

$5,87=(a_w*0.8544+15a_0-0.96)$

$a_w=4.331m/s^2$

b)

Generally the equation for equilibrium of system on the horizontal axis is mathematically given as

$\sum f_x=ma_w$

$F=ma_w-m \=r w^2$

$F=(25*4.221)-(15*0.04*4^2)$

$F=63.3-9.6$

$F=53.7N$

c)

Generally the equation for equilibrium of system on the vertical axis is mathematically given as

$\sum f_y=ma_w$

Where

$F=\mu-mg+m \=r \alpha$

$\alpha=\frac{a_0}{0.1}$

$\mu-mg+m \=r \alpha=0$

$\mu-15*9.81+15*0.04*\frac{4.221}{0.1}$

$\mu-96.5N=0$

$\mu=96.5$

3 0

3 years ago

HELP PLEASEEE, I REALLY DO NOT UNDERSTAND THESE QUESTIONS. THANK YOU HELP IS VERY MUCH APPRECIATED!!! ASAP

ziro4ka [17]

Answer: New Mean = $40,920

New Median = $38,500

<u>Step-by-step explanation:</u>

5 employee's salaries are as follows in order from least to greatest:

$32,000 - unknown - $38,500 - unknown - unknown

The median (middle number) is: $38,500

The mean (average) of the 5 salaries is: $40,300

If $3,100 is added to the $32,000 salary, then the mean(average) is increased by $\dfrac{\$3100}{5\ salaries}=\$620$ .

Old Mean + increase = New Mean

$40,300 + $ 620 = $40,920

The median (middle number) does not change. It is still $38,500

8 0

3 years ago

What value in place of the question mark makes the polynomial below a perfect square trinomial 9x^2+?x+64

timurjin [86]

Answer:

The middle term would be 48x

Step-by-step explanation:

In order to find this, we need to take the squares of the end terms and put them in a perfect square. Then we can distribute to find the middle term.

(3x + 8)^2

(3x + 8)(3x + 8)

9x^2 + 24x + 24x + 64

9x^2 + 48x + 64

7 0

4 years ago

Alice borrowed 16700 from the bank at a simple interest rate of 9% to purchase a used car.At the end of the loan,she had paid a

BigorU [14]

Answer:

Step-by-step explanation:

Alice borrowed 16700 from the bank at a simple interest rate of 9% to purchase a used car. It means that the interest is not compounded. Simple interest is usually expressed per annum. The formula for simple is

I = PRT/100

Where

I = interest

P = principal(amount borrowed from the bank)

R = 9% ( rate at which the interest is charged

T = number of years

At the end of the loan,she had paid a total of 24215. This means that the interest + the principal = 24215

Therefore,

The interest = 24215 - 16700 = 7515

Therefore

7517 = (16700 × 9 × t)/100

751700 = 150300t

T = 751700/150300

T = 5 years

Converting 5 years to months,

1 year 12 months

5 months = 12 × 5 = 60 months

4 0

4 years ago

He value of variable for which the polynomial becomes zero is called as the zeroes of the polynomial. For Example: Consider p(x)

DedPeter [7]

OK this is hard math

4 0

3 years ago

What is the value of n? (3×n)+4= 32÷2