Mr. Degree!

Geometry Level 1

A robot has a wheel and is rotated through a servo (which uses degrees to determine its destination or where to move),the servo is been modified and can move exceeding from 180 º . If its wheel diameter is equal to 10 cm and its present distance reading away from the object is 10 cm. , then what degree of servo will it move to cover up and get into its fix distance of 5 cm.(a distance that the robot should maintain) away from an object if its initial position is 90 degrees?

Note: If there will be a decimal value, then just get to the limit in the hundredths value, or simply round it up.

The answer is 147.32.

1 solution

Lionelle Diaz
Oct 18, 2014

first is..will gonna get the difference between the fix distance or the distance that the robot should maintain and the present reading which is 10 cm. , and get its wheel circumference which is equal to

31.4 cm // this is the value of circumference.

10 cm - 5 cm=5 cm

so now to determine the degree, we need to cross multiply it with the following fractions

5/31.4 = _/360 so 5 x 360 = 1800/ 31.4 = 57.32(rounded up) //the exact answer is 57.324840764331210191082802547771

so therefore, if we move the servo by 57.32 degree, then it also covers a distance of 5 cm.

Now, whats being asked on the question is WHAT degree of servo should it move to cover the correct distance. So in this equation, we can get the final answer:

90+57.32= 147.32 degrees

//since we got the initial degree as said in the problem equal to 90 degrees

to check

5 x 360 = 1800 and 31.4 x 57.32 = 1799.848 which can be rounded up = 1800...

above my head

Pritish Singhal - 6 years, 7 months ago

okay sir!!!

I would like to introduce myself first, I am currently studying about robotics, and I am still 14. not 18+ or etc.

By the way, that problem is just a part of the situations that the robot will be facing, or lets say "A specific objective" that the robot will have.

in this situation, it just need the robot to move forward(only forward) to cover up get closer to the object with in 5 cm. but in the case of my question

its present reading is 10 cm., but it needs to be away from the object for 5 cm.

so 10 cm. - 5 cm. = 5 cm.

question : How???

(First)

Now what we are going to do is to get the variables needed first. Like the circumference, cause this does really matter much.

now as what I said, that the wheel diameter(d) = 10 cm. and now to get the circumference is the next part:

C= (3.14) x d C= (3.14) x 10 cm. C= 31.4 cm.

so now we got the wheel circumference = 31.4 cm. now, if i'll ask you, How much distance is covered if we rotate the wheel completely? Of course = 31.4 cm wheel be covered.

now 1 turn = 360 º, then 1 (360 º) = 31.4

(Second)

Now, it seems like dots are connecting and form into lines...

now what we needed is 5 cm. so how much degree??? Cross Multiplication is the easiest way to solve it..

5/31.4 = ?/360

what is "?"

so by cross multiplying it, then "?" will reveal.

5 x 360 = 1800

and 1800/31.4 = 57.32 (already rounded up)

(Third)

having 57.32 º is not yet the final answer, it is only " the amount of degree needed to move a distance of 5 cm." but we are looking for what degree of servo...

since we have an initial degree of 90 º, then we will just gonna be adding it with "the degree needed" which is 57.32

so 90+57.32 = 147.43 º

-Lionelle :)

Lionelle Diaz - 6 years, 7 months ago

thank u by the way how can u study robotics at an immature age 0f 14

Pritish Singhal - 6 years, 7 months ago

@Pritish Singhal – well..hahahaa, i do have a lot of friends in this community "Letsmakerobots.com"..heheheh..anything that i want to study, i will really get deep in to it,

Lionelle Diaz - 6 years, 7 months ago

can you explain the logic behind it

Pritish Singhal - 6 years, 7 months ago

Mr. Degree!

The answer is 147.32.

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