1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
frosja888 [35]
3 years ago
10

A holiday ornament in the shape of a hollow sphere with mass 0.010 kg and radius 0.055 m is hung from a tree limb by a small loo

p of wire attached to the surface of the sphere. If the ornament is displaced a small distance and released, it swings back and forth as a physical pendulum with negligible friction. Calculate its period. (Use the parallel-axis theorem to find the moment of inertia of the sphere about the pivot at the tree limb.)
Physics
1 answer:
poizon [28]3 years ago
3 0

Answer:

0.608 s

Explanation:

Given that

m = 0.01 kg

r = 0.055 m

the period of a pendulum is primarily stated as

T = 2π √(I/mgd), where

I = moment of inertia

m = mass of pendulum

g = acceleration due to gravity

d = radius

moment of inertia, I is given as

I = ⅔MR² + MR²

I = 5/2 MR²

also, going forward, we assume d = R

next, we substitute each into the equation for period, i.e 2π√(I/mgd)

T = 2π √[(5/3MR²) / MgR]

T = 2π √[(5/3R) / g]

T = 2π √(5R/3g)

Next, we plug in the values of each, and we have

T = 2π √[(5 * 0.055) / (3 * 9.8)]

T = 2π √(0.275/29.4)

T = 2π √0.00935

T = 2π * 0.0967

T = 2 * 3.142 * 0.0967

T = 0.608 s

Therefore, the period of the hollow sphere is 0.608 s

You might be interested in
What happens when an atoms losses an electron-
inysia [295]
It becomes positive
8 0
2 years ago
The sensor in the torso of a crash test dummy records the magnitude and direction of the net force acting on the dummy.If the du
Sunny_sXe [5.5K]

Here in crash test the two forces are acting on the dummy in two different directions

As we know that force is a vector quantity so we need to use vector addition laws in order to find the resultant force on it.

So here two forces are given in perpendicular direction with each other so as per vector addition law we need to use Pythagoras theorem to find the resultant of two vectors

so we can say

F_{net} = \sqrt{F_1^2 + F_2^2}

here given that

F_1 = 130.0 N

F_2 = 4500.0 N

now we will plug in all data in the above equation

F_{net} = \sqrt{4500^2 + 130^}

F_{net} = 4501.9 N

so it will have net force 4501.9 N which will be reported by sensor

4 0
2 years ago
Read 2 more answers
Two bowling balls each have a mass of 6.8 kg. They are located next to each other with their centers 21.8 cm apart. What gravita
12345 [234]

Answer:

6.49 x 10^-8 N

Explanation:

formula is

F= G * ((m1 * m2)/r^2)

F = 6.67x10^-11 * ((6.8*6.8/.218)

F = 6.49 x 10^-8 Newtons

3 0
2 years ago
Wanna text in hangouts and Zo-om??Send me a contact request in zo-om using this em ail id
Blizzard [7]

Explanation:

suree

:]

3 0
3 years ago
Read 2 more answers
When a nerve cell depolarizes, charge is transferred across the cell membrane, changing the potential difference. For a typical
laila [671]

Answer:

I = 18 x 10⁻⁹ A = 18 nA

Explanation:

The current is defined as the flow of charge per unit time. Therefore,

I = q/t

where,

I = Average Current passing through nerve cell

q = Total flow of charges through nerve cell

t = time period of flow of charges

Here, in our case:

I = ?

q = (9 pC)(1 x 10⁻¹² C/1 pC) = 9 x 10⁻¹² C

t = (0.5 ms)(1 x 10⁻³ s/1 ms) = 5 x 10⁻⁴ s

Therefore,

I = (9 x 10⁻¹² C)/(5 x 10⁻⁴ s)

<u>I = 18 x 10⁻⁹ A = 18 nA</u>

6 0
2 years ago
Other questions:
  • g A coil formed by wrapping 50 turns of wire in the shape of a square is positioned in a magnetic field so that the normal to th
    5·1 answer
  • A uniform steel beam has a mass of 1800 kg. on it is resting half of an identical beam, as shown in fig. 9-44. what is the verti
    14·1 answer
  • Which chemical equation represents a double replacement reaction?
    11·1 answer
  • Choose
    14·1 answer
  • What do we call the principal SI units that are used to derive all other SI units? Question 3 options:
    6·1 answer
  • Which is directly proportional to your weight on a planet's surface?
    7·1 answer
  • Describe the process of how a bill becomes a law in at least 4-5 sentence
    15·1 answer
  • What causes the movement of deep ocean currents?
    14·1 answer
  • If a cannonball is fired horizontally it will not go in a straight line why?
    12·1 answer
  • A girl, standing on a bridge, throws a stone vertically downward with an initial velocity of 12.0 m/s, into the river below. if
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!