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1 year ago

State two factors that affect the spring constant of a spring made using a wire of a certain material and given thickness

1 answer:

8 0

The spring's rigidity is quantified by the spring constant. The spring constant increases as the wire's thickness increases. The spring constant lowers as the coil's diameter increases.

Material: Steel and copper are two materials that have differing constants when used to make identical springs.

Describe the spring constant ?

The restoring force applied to the spring for a given length of deflection is known as the spring constant. It is often referred to as the amount of force needed to extend or compress a spring one unit of length.

The level of resistance to spring deformation is expressed by the spring constant. In addition to being known as spring stiffness or spring rate, the spring constant and It is represented by the letter "K."

The following variables affect the coil spring's spring constant:-

a) Modulus of rigidity (G): As the modulus of rigidity of the spring material increases, so does the coil spring's spring constant.

b) Wire diameter (d): As the diameter of the spring wire grows, so does the spring constant.

c) Coil diameter (D): As the diameter of the spring coil increases, so does the spring's spring constant.

d) Number of coils (n): As the number of spring coils increases, the spring constant decreases.

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1. An asphalt block has a mass of 90 kg and a volume of 0.075 m. Determines the density of the asphalt.

Kisachek [45]

Answer:

1. Density = 1200[kg/m^3]; 2. Volume= 0.005775[m^3], mass= 15.59[kg]

Explanation:

1. We know that the density is defined by the following expression.

$Density = \frac{mass}{volume} \\where:\\mass=90[kg]\\volume=0.075[m^{3} ]\\density=\frac{90}{0.075} \\density=1200[\frac{kg}{m^{3} }]$

2. First we need to convert the units to meters.

wide = 35[cm] = 35/100 = 0.35[m]

long = 11 [dm] = 11 decimeters = 11/10 = 1.1[m]

Thick = 15[mm] = 15/1000 = 0.015[m]

Now we can find the density using the expression for the density.

$density= \frac{mass}{volume} \\where:\\volume = wide*long*thick\\volume=0.35*1.1*0.015 = 0.005775[m^3]\\\\mass= density*volume = 2700*0.005775 = 15.59[kg]$

7 0

3 years ago

A child lies on his back and raises his head up off the floor. When doing so, the total tension force in his neck muscles is 51.

Margarita [4]

Answer:

The total tension in the child's neck muscle, T = 56.51 N

Explanation:

Let m = mass of the child's neck

Radius of the curve, r = 2.40 m

The child's speed, v = 3.35 m/s

The tension force on the child's neck when he raises his head up off the floor, $T_{f} = 51.0 N$

The tension force on the child's neck when he raises his head from the wall of the slide, $T_{s} = ?$

$T_{f} = mg\\g = 9.8 m/s^2\\51 = m * 9.8\\m = 51/9.8\\m = 5.2 kg$

Since he makes a circular turn in water, the radial acceleration can be given by the equation:

$a_{r} = \frac{v^{2} }{r} \\a_{r} = \frac{3.35^{2} }{2.4}\\a_{r} = 4.68 m/s^2$

$T_{s} = ma_{r} \\T_{s} = 5.2 * 4.68\\T_{s} = 24.336 N$

The total tension in the child's neck muscle till be calculated as:

$T = \sqrt{T_{f} ^{2} + T_{s} ^{2} } \\T = \sqrt{51 ^{2} + 24.336^{2} }\\T = \sqrt{2601 + 592.24 }\\T = 56.51 N$

5 0

2 years ago

A lab cart flies off the end of a track on a lab table with a horizontal velocity of 2.08 m/s. If it lands 0.96 meters from the

lana [24]

Answer:

Option C. 1.2 m

Explanation:

The following data were obtained from the question:

horizontal velocity (u) = 2.08 m/s

Horizontal distance (s) = 0.96 m

Height (h) of the table =?

Next, we shall determine the time taken for the lab cart to get to the ground. This can be obtained as follow:

horizontal velocity (u) = 2.08 m/s

Horizontal distance (s) = 0.96 m

Time (t) =?

s = ut

0.96 = 2.08 × t

Divide both side by 2.08

t = 0.96 / 2.08

t = 0.5 s

Finally, we shall determine the height of the table as illustrated below:

Time (t) = 0.5 s

Acceleration due to gravity (g) = 9.8 m/s²

Height (h) of the table =?

h = ½gt²

h = ½× 9.8 × 0.5²

h = 4.9 × 0.25

h = 1.2 m

Thus, the height of the table is 1.2 m

3 0

2 years ago

Five factors predisposing a person to stroke

insens350 [35]

Answer:

the answers maybe→↓

Explanation:

high blood pressure.

cigarette smoking.

diabetes.

high blood cholesterol levels.

heavy drinking.

5 0

3 years ago

Read 2 more answers

Calculate the tension on the rope.<br> A. 57.89 N<br> B. 32.73 N<br> C. 69.84 N<br> D. 12.55 N

Ratling [72]

Hi there!

$\large\boxed{\text{B. 32.73N}}$

To calculate the tension, we must calculate the acceleration of the system.

Begin with a summation of forces:

∑F = -M₁gsinФ + T - T + M₂g

Simplify and solve for acceleration: (Tensions cancel out)

$a = \frac{-M_1gsin\theta + T - T + M_2g}{M_1+M_2}$

Plug in values. Let g = 10 m/s²

$a = \frac{-3(10)(sin30)+8(10)}{3+8} = 5.91 m/s^{2}$

Now, to find tension, let's sum up the forces acting on ONE block. For simplicity, we can look at the hanging block:

∑F = -T + W

ma = -T + W

Rearrange to solve for T:

T = W - ma

We know the acceleration, so plug in the values:

T = (8)(10) - (8)(5.91) = 32.73 N

3 0

2 years ago