maths

posted by .

would it be number 6?

The head of an industrial machine moves in a straight line horizontally backwards and forwards from a central position. The movement can be modelled using the sine wave d = 80 sin ( pie t), where d is the horizontal distance (in cm) from the central starting position, and t is the time after the machine starts running (in second).

choose two statements which are true about the motion of the machine.
1)the maximum distance that the machine head moves horizontally from its central starting position is 80 cm.
2) The maximum distance that the machine head moves horizontally from its central starting position is 40 cm.
3) The machine head will make 50 complete cycles in a minute.
4) The machine head will make 30 complete cycles in a minute.
5) The machine head will make one complete cycle in half a minute.
6) The machine head will make one complete cycle in two minutes.

the largest value for sine of any angle is +1, which when multiplied by 80 gives a maximum value of 80, so 1) is true

the period of sin(kx) is 2pi/k

so the period of 80sin(pi t) = 2pi/pi = 2
since t was defined as seconds the machine will complete one complete cycle in 2 seconds.
So which answer would fit that conclusion?

Bob, I think it's #4,
It takes 2 seconds to complete one cycle, which is 30 cycles per minute.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. maths

    The head of an industrial machine moves in a straight line horizontally backwards and forwards from a central position. The movement can be modelled using the sine wave d = 80 sin(pie t), where d is the horizontal distance (in cm) …
  2. maths

    The head of an industrial machine moves in a straight line horizontally backwards and forwards from a central position. The movement can be modelled using the sine wave d = 80 sin ( pie t), where d is the horizontal distance (in cm) …
  3. math

    The head of an industrial machine moves in a straight line horizontally backwards and forwards from a central position. The movement can be modelled using the sine wave d = 80 sin ( pie t), where d is the horizontal distance (in cm) …
  4. math

    The head of an industrial machine moves in a straight line horizontally backwards and forwards from a central position. The movement can be modelled using the sine wave d = 80 sin ( pie t), where d is the horizontal distance (in cm) …
  5. math

    The head of an industrial machine moves in a straight line horizontally backwards and forwards from a central position. The movement can be modelled using the sine wave d = 80 sin ( pie t), where d is the horizontal distance (in cm) …
  6. maths

    The head of an industrial machine moves in a straight line horizontally backwards and forwards from a central position. The movement can be modelled using the sine wave d = 80 sin ( pie t), where d is the horizontal distance (in cm) …
  7. maths

    The head of an industrial machine moves in a straight line horizontally backwards and forwards from a central position. The movement can be modelled using the sine wave d = 80 sin ( pie t), where d is the horizontal distance (in cm) …
  8. Maths

    A palindrome number is one that reads the same both forwards and backwards- for instance. 797 or 44. How many palindromic numbers are there between: a) 10 and 400 b) 10 and 1000 Thanks
  9. Physics help

    A wave is described by the equation y = (4.5×10−2) sin (1.9x − 3.2t), where lengths are measured in meters and time in seconds. What is the displacement of a particle at position x = 2.7 m at time t = 5.8 s?
  10. science

    Mary is driving on a straight road. Suddenly a deer jumps out in front of her. Mary turns her car to the left to avoid the deer. Which best describes what happens to mary's head position if she is wearing her seatbelt?

More Similar Questions