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# The figure above shows the path traced by the end of a pendulum as it

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Math Expert
Joined: 02 Sep 2009
Posts: 42604

Kudos [?]: 135673 [0], given: 12706

The figure above shows the path traced by the end of a pendulum as it [#permalink]

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23 Nov 2017, 00:33
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Question Stats:

96% (00:51) correct 4% (02:26) wrong based on 23 sessions

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The figure above shows the path traced by the end of a pendulum as it moves from point X to point Y. How many centimeters does the end of the pendulum travel along the arc from X to Y?

(A) 4π
(B) 5π
(C) 10π
(D) 20π
(E) 36π

[Reveal] Spoiler:
Attachment:

2017-11-23_1216.png [ 7.65 KiB | Viewed 297 times ]
[Reveal] Spoiler: OA

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Kudos [?]: 135673 [0], given: 12706

BSchool Forum Moderator
Joined: 26 Feb 2016
Posts: 1705

Kudos [?]: 750 [0], given: 20

Location: India
WE: Sales (Retail)
The figure above shows the path traced by the end of a pendulum as it [#permalink]

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23 Nov 2017, 02:32

The distance traveled by the pendulum from X to Y is
the length of the arc if X and Y are joined.

Given data: r=120 and θ=30

The length of an arc is $$(\frac{θ}{360}) × 2π × r$$
Therefore, the distance traveled is $$\frac{1}{12} * 2π × 120 = 20π$$(Option D)

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Kudos [?]: 750 [0], given: 20

VP
Joined: 22 May 2016
Posts: 1131

Kudos [?]: 403 [0], given: 645

The figure above shows the path traced by the end of a pendulum as it [#permalink]

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27 Nov 2017, 17:51
Bunuel wrote:

The figure above shows the path traced by the end of a pendulum as it moves from point X to point Y. How many centimeters does the end of the pendulum travel along the arc from X to Y?

(A) 4π
(B) 5π
(C) 10π
(D) 20π
(E) 36π

[Reveal] Spoiler:
Attachment:
2017-11-23_1216.png

$$\frac{30}{360}=\frac{1}{12}=$$ the fraction of a circle the pendulum arc is.

If this were a circle, circumference would =
$$2\pi r = 240\pi$$

$$\frac{1}{12} *240\pi = 20\pi =$$ distance traveled by the pendulum.

Kudos [?]: 403 [0], given: 645

The figure above shows the path traced by the end of a pendulum as it   [#permalink] 27 Nov 2017, 17:51
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