Pregunta
- Tensions are 2000 N and 900 N in a belt drive. The diameter of the driver pulley is
and its rotational frequency is
. Calculate:
a) The effective tension.
b) The torque of the driver pulley.
c) The work done during one revolution.
d) The output power of the pulley after 45 s .
a) The effective tension.
b) The torque of the driver pulley.
c) The work done during one revolution.
d) The output power of the pulley after 45 s .
Ask by Mcfarlane Bright. in South Africa
Jan 28,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
a) The effective tension is 1100 N.
Solución

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Respondido por UpStudy AI y revisado por un tutor profesional
Como
The Deep Dive
To tackle this problem, let’s break it down step by step:
a) Effective Tension
The effective tension (
) in a belt drive can be calculated using the formula:
Where:
-
(tension on the tight side) -
(tension on the slack side)
Plugging in the values gives:
b) Torque of the Driver Pulley
The torque (
) is calculated using the formula:
Where
(radius of the pulley) and
. Thus,
Now plug in the radius and effective tension:
c) Work Done During One Revolution
Work done (W) is calculated as:
The circumference © of the pulley is given by:
Now, substitute to find W:
d) Output Power of the Pulley After 45 s
Power § can be calculated as:
Where
. In one revolution, the work done is 1518 J, so the number of revolutions in 45 seconds is:
First, calculate the frequency in revolutions per second:
Now, find total work done in 45 seconds:
Finally, find the power:
So the answers are:
- Effective tension:
- Torque:
- Work done in one revolution:
- Output Power after 45 s:

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