Answer:
88.34 N directed towards the center of the circle
Explanation:
Applying,
F = mv²/r................... Equation 1
F = Force needed to keep the mass in a circle, m = mass of the mass, v = velocity of the mass, r = radius of the circle.
But,
v = 2πr/t................... Equation 2
Where t = time, π = pie
Substitute equation 2 into equation 1
F = m(2πr/t)²/r
F = 4π²r²m/t²r
F = 4π²rm/t²............. Equation 3
From the question,
Given: m = 0.8 kg, r = 0.7 m, t = 0.5 s
Constant: π = 3.14
Substitute these values into equation 3
F = 4(3.14²)(0.7)(0.8)/0.5²
F = 88.34 N directed towards the center of the circle
Answer:
a. v = 13.572 m / s
b. T = 2.578 x 10 ⁻³ N
Explanation:
μ = 1.9 x 10 ⁻⁴ kg / m
y = y ₙ * sin ( kx + wt )
a.
y = 0.034 m * sin ( 2.8 m⁻¹) x + (38 s⁻¹)t
R = 2.8 m⁻¹
W = 38 s⁻¹
To determine speed of the string
v = W / R = 38 / 2.8
v = 13.572 m / s
b.
v = √ T / μ
v ² = T / μ
To determine the tension on the string
T = v ² * μ
T = 13.572 m/s * 1.9 x 10 ⁻⁴ kg / m
T = 2.578 x 10 ⁻³ N
The length of a side of the cube is 21.83 cm.
We need to know about cube volume to solve this problem. Cube volume can be calculated by multiplying the length of the cube. It can be written as
V = L³
where V is cube volume and L is cube length.
From the question above, we know that
V = 11 quart = 2.75 gallon
1 gallon = 3.786 liters
Convert volume to liters
V = 2.75 gallon
V = 2.75 x 3.786 liters
V = 10.41 liters
V = 10.41 dm³
Find the length
V = L³
10.41 = L³
L = ³√10.41
L = 2.18 dm
Convert length to cm
L = 2.183 dm
L = 21.83 cm
Find more on cube volume at: brainly.com/question/1972490
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The relationship between the period of an oscillating spring and the attached mass determines the ratio of the period to
.
Response:
- The ratio of the period to
is always approximately<u> 2·π : 1</u>
<u />
<h3>How is the value of the ratio of the period to

calculated?</h3>
Given:
The relationship between the period, <em>T</em>, the spring constant <em>k</em>, and the
mass attached to the spring <em>m</em> is presented as follows;

Therefore, the fraction of of the period to
, is given as follows;

2·π ≈ 6.23
Therefore;

Which gives;
- The ratio of the period to
is always approximately<u> 2·π : 1</u>
Learn more about the oscillations in spring here:
brainly.com/question/14510622