basic_engineering_mathematics0

Cartesian and polar co-ordinates 165
Now try the following exercise
Exercise 80
Further problems on changing polar into
Cartesian co-ordinates (Answers on
page 279)
In Problems 1 to 8, express the given polar co-ordinates as
Cartesian co-ordinates, correct to 3 decimal places.
1. (5, 75 ◦ ) 2. (4.4, 1.12 rad)
3. (7, 140 ◦ ) 4. (3.6, 2.5 rad)
5. (10.8, 210 ◦ ) 6. (4, 4 rad)
7. (1.5, 300 ◦ ) 8. (6, 5.5 rad)
9. Figure 21.10 shows 5 equally spaced holes on an 80 mm
pitch circle diameter. Calculate their co-ordinates relative
to axes 0x and 0y in (a) polar form, (b) Cartesian
form.
y
O
x
Fig. 21.10