Explain Trig word prob, please?

Question

Can someone help me with these word problems? :-/ Just step by step, because I really don't get it... >_< They're both similar.

1.) A pulley is rotating 320/min. Through how many degrees does a point on the edge of the pulley move in 2/3 sec?

2.) The propeller of a speedboat rotates 650/min. Through how many degrees will a point on the edge of the propeller rotate in 2.4 sec?

Edit: Whoo! Thanks guys for the explanation! ^_^ It's a lot clearer now.

Answer 1

Question 1
1 min<--->320 revs
1 sec<--->320 / 60 revs
2/3 sec<--->(32 / 6) x (2/3) revs
= 64 / 18 revs
= 32 / 9 revs
1 rev<--->360°
(32/9) rev<-->(32 / 9) x 360° = 1280°

Question 2
60 secs<--->650 revs
2.4 secs<-->(2.4 / 60) x 650 revs
= 2.4 x 65 / 6 revs
= 0.4 x 65 revs
= 26 revs
= 26 x 360°
= 9360°

Answer 2

1 rotation is 360 degrees
In 1 minute the pulley rotates 320 times (320/ min rotation speed)
So for 1 rotation the time taken is 1/320 minutes or 1/320* 60 seconds=3/16 seconds
1 rotation happens in 3/16 seconds so in 1 second 16/3 rotations happen ( reciprocal of 3/16)
so in 2/3 seconds the number of rotations = 2/3* 16/3 = 32/9
rotations in 2/3 seconds
1 rotation = 360 degrees
so 32/9 rotations means 32/9* 360 degrees = 1280 degrees



similarly, the propeller makes 650 rotations in 1 minute
so 1 rotation takes (1/650 *60 ) seconds =6/65 sec
In 2.4 seconds the number of rotations=2.4*65/6 = 26
26 rotations means 360* 26 degrees = 9360 degrees

Answer 3

1: I will assume 320/min means 320 revolutions per minute, not 320 degrees per minute.
__ Divide 320 by 60 seconds in a minute.
__ Multiply your answer by 360 degrees in a circle. That gives you how many degrees the pulley travels in a second.
__ Multiply the last figure by 2/3 of a second.

2: Multiply 650 rpm by 360 degrees. The product will be the number of degrees the prop travels in a minute.
__ Divide that answer by 60 seconds in a minute to get the number of degrees traveled in a second.
__ Multiply by 2.4 seconds.

Answer 4

knowing that a circle is 360 degrees
320 rotations per minute (rpm) is
320 x 360 degrees per minute = 115200 degrees per minute
divide by 60 to get degrees per second.
115200/60 = 1920 degrees per second
1920 * 2/3 = 1280 degrees per second in 2/3 sec.

2. Same process here with different numbers
650 circles/ min * 1 min/60 sec * 360 deg/circle * 2.4 sec = 9360 degrees

Answer 5

In a 30-60-ninety, enable: x = smallest leg Shortest leg = x Longest leg = xsqrt{3} hypotenuse = 2x 15 = x * sqrt{3} x = 5sqrt{3} 2x = 10*sqrt{3} that's the dimensions of the hypotenuse.

Answer 6

These are not trig problems. it's arithmetic.