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valentina_108 [34]
3 years ago
11

A car on a Ferris wheel has an angular displacement of π 4 rad, which corresponds to an arc length of 28.2 m. What is the Ferris

wheel’s radius? Answer in units of m
Physics
1 answer:
Mkey [24]3 years ago
5 0

Answer:35.9 m

Explanation:

Given

angular displacement \theta =\dfrac{\pi }{4}

Arc length L=28.2\ m

and we know that arc length L=\theta \times R

where R=radius of curvature

R=\dfrac{28.2}{\dfrac{\pi }{4}}

R=\dfrac{28.2\times 4}{\pi }

R=35.9\ m

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A 6.9 kg object is suspended by a string from the ceiling of an elevator. The acceleration of gravity is 9.8 m/s 2 . Determine t
lina2011 [118]

Answer:

Tension, T = 87.63  N

Explanation:

Given that,

Mass of the object, m = 6.9 kg

The string is acting in the upward direction, a = 2.9 m/s²

Acceleration due to gravity, g = 9.8 m/s²

As the lift is accelerating upwards, it means the net force acting on it is given by :

T = m(a+g)

= 6.9 (2.9+9.8)

= 6.9(2.7)

= 87.63  N

So, the tension in the string is 87.63  N.

6 0
3 years ago
A 55-kg woman is wearing high heels. If each heel has a circular cross-section 6.0 mm in diameter and she puts all her weight on
bogdanovich [222]

Answer:

The pressure exerted by the woman on the floor is 1.9061 x 10⁷ N/m²

Explanation:

Given;

mass of the woman, m = 55 kg

diameter of the circular heel, d = 6.0 mm

radius of the heel, r = 3.0 mm = 0.003 m

Cross-sectional area of the heel is given by;

A = πr²

A = π(0.003)²

A = 2.8278 x 10⁻⁵ m²

The weight of the woman is given by;

W = mg

W = 55 x 9.8

W = 539 N

The pressure exerted by the woman on the floor is given by;

P = F / A

P = W / A

P = 539 / (2.8278 x 10⁻⁵ )

P = 1.9061 x 10⁷ N/m²

Therefore, the pressure exerted by the woman on the floor is 1.9061 x 10⁷ N/m²

5 0
3 years ago
1. After a rabbit population reaches the carrying capacity of its habitat, what will most likely happen to
kifflom [539]
C) alternately increase and decrease
6 0
3 years ago
If you are describing the displacement of an object with respect to a reference point, you should use
Leya [2.2K]
You should use B. a vector
6 0
3 years ago
An acceleration constraint says that in some circumstances An acceleration constraint says that in some circumstances the accele
Pavel [41]

Answer:

two objects must have accelerations of equal magnitude.

Explanation:

In physics, acceleration can be defined as the rate of change of the velocity of an object with respect to time.

This simply means that, acceleration is given by the subtraction of initial velocity from the final velocity all over time.

Hence, if we subtract the initial velocity from the final velocity and divide that by the time, we can calculate an object’s acceleration.

Mathematically, acceleration is given by the equation;

Acceleration (a) = \frac{final \; velocity  -  initial \; velocity}{time}

a = \frac{v  -  u}{t}

Where,

a is acceleration measured in ms^{-2}

v and u is final and initial velocity respectively, measured in ms^{-1}

t is time measured in seconds.

Acceleration constraint refers to a precise relationship between the acceleration of two physical objects.

An acceleration constraint says that in some circumstances two objects must have accelerations of equal magnitude.

4 0
3 years ago
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